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. Defining document command \newfontfamily with arg. spec. 'mO{}m' on line
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(d:/texlive/2011/texmf-dist/tex/latex/fontspec/fontspec.cfg))
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/xepersian-persiancal.sty
Package: xepersian-persiancal 2010/07/25 v0.1 provides Persian calendar
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Package: xepersian-mathsdigitspec 2011/03/01 v0.9 Unicode Persian maths digits 
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X

bidi package (Support for bidirectional typesetting in plain TeX and LaTeX)
 Description: A convenient interface for typesetting bidirectional
 texts in plain TeX and LaTeX. The package includes adaptations for use
 with many other commonly-used packages.
 Copyright © 2009–2011 Vafa Khalighi
 v1.2.6, 2011/08/26
 License: LaTeX Project Public License, version 1.3c or higher (your choice)
 Home: https://bitbucket.org/vafa/bidi
 Location on CTAN: /macros/latex/contrib/bidi
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File: amsmath-xetex-bidi.def 2010/07/25 v0.2 bidi adaptations for amsmath packa
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File: loadingorder-bidi.def 2011/04/16 v0.6 making sure that bidi is the last p
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))
xepersian package (Persian for LaTeX over XeTeX)
 Description: The package supports Persian
 typesetting, using fonts provided in the distribution.
 Copyright © 2008–2011 Vafa Khalighi
 v1.1.6, 2011/08/01
 License: LaTeX Project Public License, version 1.3c or higher (your choice)
 Home: http://bitbucket.org/vafa/xepersian
 Location on CTAN: /macros/xetex/latex/xepersian
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. fontspec info: "defining-font"
. 
. Defining font family 'lmroman10-regular(0)' for font 'lmroman10-regular'
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-bold}].
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. 
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. <->"[lmroman10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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. 
. Defining shape 'm/sc' with NFSS spec.:
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. <->"[lmromancaps10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"
.................................................
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. 
. Defining shape 'bold' with NFSS spec.:
. <->"[lmroman10-bold]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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. 
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. 
. <->"[lmromancaps10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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. 
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. <->"[lmroman10-italic]/ICU:script=latn;language=DFLT;mapping=tex-text;"
.................................................
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. 
. Defining shape 'm/si' with NFSS spec.:
. 
. <->"[lmromancaps10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"
.................................................
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. fontspec info: "defining-raw"
. 
. Defining shape 'm/sl' with NFSS spec.:
. 
. <->"[lmromanslant10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"

.................................................
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. <->"[lmromancaps10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/loadingorder-bidi-xepersian.d
ef
File: loadingorder-bidi-xepersian.def 2010/07/25 v0.2 making sure that xepersia
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)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/footnote-bidi-xepersian.def
File: footnote-bidi-xepersian.def 2010/07/25 v0.2 footnote macros for xepersian
 package
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/hyperref-xepersian.def
File: hyperref-xepersian.def 2010/07/25 v0.3 bilingual captions for hyperref pa
ckage
)
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File: book-xepersian.def 2010/07/25 v0.2 adaptations for standard book class
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/localise-xepersian.def
File: localise-xepersian.def 2010/07/25 v0.2a Persian localisation of LaTeX2e

(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/commands-ltx.def
File: commands-ltx.def 2010/07/25 v0.2 Persian localisation of LaTeX2e commands

)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/commands-xepersian.def
File: commands-xepersian.def 2010/07/25 v0.1 Persian localisation of XePersian 
commands
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/environments-ltx.def
File: environments-ltx.def 2010/07/25 v0.2 Persian localisation of LaTeX2e envi
ronments
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/environments-xepersian.def
File: environments-xepersian.def 2010/07/25 v0.1 Persian localisation of XePers
ian and bidi environments
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/messages-localise.def
File: messages-localise.def 2011/03/01 v0.1 localising LaTeX2e messages
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/misc-localise-xepersian.def
File: misc-localise-xepersian.def 2011/03/01 v0.1 miscellaneous Persian localis
ation of LaTeX2e
)
(d:/texlive/2011/texmf-dist/tex/xelatex/xepersian/packages-localise-xepersian.d
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File: packages-localise-xepersian.def 2011/03/01 v0.1 localising LaTeX2e Packag
es
)))
\g_fontspec_family_XB Niloofar_int=\count325
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. fontspec info: "defining-font"
. 
. Defining font family 'XBNiloofar(0)' for font 'XB Niloofar' with options
. [Script=Parsi,Language=Parsi,Mapping=parsidigits,Scale=1.1].
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. 
. Defining shape 'normal' with NFSS spec.:
. <->s*[1.1]"XB Niloofar/ICU:script=arab;language=FAR;mapping=parsidigits;"
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. 
. Defining shape 'bold' with NFSS spec.:
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. Defining shape 'italic' with NFSS spec.:
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. 
. Defining shape 'bold italic' with NFSS spec.:
. <->s*[1.1]"XB Niloofar/BI/ICU:script=arab;language=FAR;mapping=parsidigits;"
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LaTeX Font Info:    Font shape `EU1/XBNiloofar(0)/m/n' will be
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. fontspec info: "defining-font"
. 
. Defining font family 'lmroman10-regular(1)' for font 'lmroman10-regular'
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. [Mapping=tex-text,ExternalLocation,BoldFont={lmroman10-bold},BoldItalicFont={
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. 
. Defining shape 'normal' with NFSS spec.:
. <->"[lmroman10-regular]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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. 
. Defining shape 'bold' with NFSS spec.:
. <->"[lmroman10-bold]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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. fontspec info: "defining-raw"
. 
. Defining shape 'italic' with NFSS spec.:
. <->"[lmroman10-italic]/ICU:script=latn;language=DFLT;mapping=tex-text;"
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. fontspec info: "defining-raw"
. 
. Defining shape 'bold italic' with NFSS spec.:
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LaTeX Info: Redefining \latinfont on input line 36.
\g_fontspec_family_Yas_int=\count326
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. fontspec info: "defining-font"
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. Defining font family 'Yas(0)' for font 'Yas' with options
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. 
. Defining shape 'normal' with NFSS spec.:
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Package amsthm Warning: Unknown theoremstyle `theorem' on input line 62.


! LaTeX Error: Command \exp already defined.
               Or name \end... illegal, see p.192 of the manual.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.77 \DeclareMathOperator{\exp}{\text{exp}}
                                           
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

)

LaTeX Warning: Unused global option(s):
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) (./chapter4.aux

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Package lastpage Info: Please have a look at the pageslts package at
(lastpage)             http://www.ctan.org/tex-archive/ 
(lastpage)             macros/latex/contrib/pageslts/ 
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(lastpage)             install/macros/latex/contrib/pageslts.tds.zip
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(d:/texlive/2011/texmf-dist/tex/latex/hyperref/nameref.sty
Package: nameref 2010/04/30 v2.40 Cross-referencing by name of section

(d:/texlive/2011/texmf-dist/tex/generic/oberdiek/gettitlestring.sty
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(./SMThesis.out) (./SMThesis.out)
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! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
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l.164 \vspace
             {3mm}
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


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[8]

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
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or  <return>  to continue without it.

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! LaTeX Error: There's no line here to end.

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l.287 {
       \bf
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

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[4] [5]) [6]
! Undefined control sequence.
<argument> \undefinedpagestyle 
                               
l.16 \pagestyle{fancy}
                      
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

\openout2 = `chapter1.aux'.

(./chapter1.tex
فصل 1.
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[1



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[][]\EU1/XBNiloofar(0)/bx/n/12 تعریف ۱‏.‏۱‏.‏۷. \EU1/XBNiloofar
(0)/m/n/12 فرض کنیم $\OML/cmm/m/it/12 R$ \EU1/XBNiloofar(0)/m/n/12 یک 
حلقه‌ی یکدار و $\OML/cmm/m/it/12 S$ \EU1/XBNiloofar(0)/m/n/12 زی
رمجموعه‌ی ناتهی آن باشد. $\OML/cmm/m/it/12 S$ \EU1/XBNiloo
far(0)/m/n/12 را زیرمجموعه‌ی[]
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[2]

! LaTeX Error: Environment difinition undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.76 \begin{difinition}
                       
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


! LaTeX Error: \begin{document} ended by \end{dfinition}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.78 \end{dfinition}
                    
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


! LaTeX Error: Environment difinition undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.79 \begin{difinition}
                       
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


! LaTeX Error: \begin{document} ended by \end{dfinition}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.81 \end{dfinition}
                    
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


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[3]

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[4] [5] [6]
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! Extra }, or forgotten \endgroup.
l.327   ([\cite[لم1.1]{Birkenmeier.principally}}
                                                  )
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

[7]
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Missing character: There is no ^^81 in font cmr12!
Missing character: There is no ^^81 in font cmr12!
Missing character: There is no ^^81 in font cmr12!
Missing character: There is no ^^81 in font cmr12!
Missing character: There is no ^^81 in font cmr12!
Missing character: There is no ¸ in font cmr8!

! Missing delimiter (. inserted).
<to be read again> 
                   \indent 
l.545 \end{array}\right\indent
                              $
I was expecting to see something like `(' or `\{' or
`\}' here. If you typed, e.g., `{' instead of `\{', you
should probably delete the `{' by typing `1' now, so that
braces don't get unbalanced. Otherwise just proceed.
Acceptable delimiters are characters whose \delcode is
nonnegative, or you can use `\delimiter <delimiter code>'.

! Missing delimiter (. inserted).
<to be read again> 
                   $
l.550 \end{array}\right$
                        
I was expecting to see something like `(' or `\{' or
`\}' here. If you typed, e.g., `{' instead of `\{', you
should probably delete the `{' by typing `1' now, so that
braces don't get unbalanced. Otherwise just proceed.
Acceptable delimiters are characters whose \delcode is
nonnegative, or you can use `\delimiter <delimiter code>'.

! Missing delimiter (. inserted).
<to be read again> 
                   $
l.556 \right $
              \\
I was expecting to see something like `(' or `\{' or
`\}' here. If you typed, e.g., `{' instead of `\{', you
should probably delete the `{' by typing `1' now, so that
braces don't get unbalanced. Otherwise just proceed.
Acceptable delimiters are characters whose \delcode is
nonnegative, or you can use `\delimiter <delimiter code>'.

[11]
Underfull \hbox (badness 10000) in paragraph at lines 579--624
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[12] [13]) [14]
\openout2 = `chapter2.aux'.

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فصل 2.

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[15



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LaTeX Warning: Citation `Tug' on page 16 undefined on input line 24.


LaTeX Warning: Citation `Tug3' on page 16 undefined on input line 26.


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[][]\EU1/XBNiloofar(0)/bx/n/12 گزاره ۲‏.‏۱‏.‏۲. \EU1/XBNiloofar
(0)/m/it/12 فرض کنیم $\OML/cmm/m/it/12 R$ \EU1/XBNiloofar(0)/m/it/12 ی
 حلقه با خودریختی $\OML/cmm/m/it/12 ^^[$ \EU1/XBNiloofar(0)/m/it
/12 و یک $\OML/cmm/m/it/12 ^^[$\EU1/XBNiloofar(0)/m/it/12 -مشتق $\OML/cm
m/m/it/12 ^^N$ \EU1/XBNiloofar(0)/m/it/12 باشد. آنگاه $\OML/cmm/m/it/1
2 R\OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ; \OML/cmm/m/it/12 ^^[
; ^^N\OT1/cmr/m/n/12 ))$[]
 []

[16]

LaTeX Warning: Citation `Tug' on page 17 undefined on input line 79.

! Missing } inserted.
<inserted text> 
                }
l.108 \end{theorem}
                   
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

[17]
Missing character: There is no ^^81 in font cmr12!
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 [18] [19]

LaTeX Warning: Reference `semiprime' on page 20 undefined on input line 332.

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[20]

LaTeX Warning: Citation `Tug' on page 21 undefined on input line 422.


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[21]
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[][]\EU1/XBNiloofar(0)/m/n/12 برعکس، فرض کنیم حلقه $\OML/cmm/m
/it/12 R$ $\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ^^[; ^^N\OT1/cmr/m/n/12 )$\EU1/XBN
iloofar(0)/m/n/12 -ساده و $\OML/cmm/m/it/12 I$ \EU1/XBNiloofar(0)/m/n/12 
ک ایده آل دوطرفه ناصفر $\OML/cmm/m/it/12 ^^[$\EU1/XBNiloofar
(0)/m/n/12 -پایا از $\OML/cmm/m/it/12 R\OT1/cmr/m/n/12 ((\OML/cmm/m/it/12
 x[]\OT1/cmr/m/n/12 ; \OML/cmm/m/it/12 ^^[; ^^N\OT1/cmr/m/n/12 ))$[]
 []


LaTeX Warning: Citation `Tug' on page 22 undefined on input line 487.

[22]
Missing character: There is no ^^81 in font cmr12!
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 [23]
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 [24]
! Missing $ inserted.
<inserted text> 
                $
l.667 l_
        {R}(I)((x^{-1}; \sigma,\delta ))=l_{S}(I)= Sf(x)$$$$. بنابرای...
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Display math should end with $$.
<to be read again> 
                   .
l.667 ...1}; \sigma,\delta ))=l_{S}(I)= Sf(x)$$$$.
                                                   بنابراین $a_{i} \...
The `$' that I just saw supposedly matches a previous `$$'.
So I shall assume that you typed `$$' both times.

[25]
Missing character: There is no ^^81 in font cmr12!
 [26]

! LaTeX Error: Environment example undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.804 \begin{example}
                     \label{Paykan}\cite [مثال 11 ]{Armendariz}
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

) [27]
\openout2 = `chapter4.aux'.

 (./chapter4.tex
فصل 3.
[28



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LaTeX Warning: Reference `semisemi' on page 30 undefined on input line 199.

[30]

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[31] [32] [33]

LaTeX Warning: Reference `2.12' on page 34 undefined on input line 1231.

[34]

LaTeX Warning: Reference `2.12' on page 35 undefined on input line 1348.

[35]
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[36] [37] [38]
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[39] [40] [41] [42] [43] [44] [45]) [46]
\openout2 = `chapter5.aux'.

 (./chapter5.tex
فصل 4.

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LaTeX Warning: Citation `41' on page 48 undefined on input line 60.


LaTeX Warning: Citation `41' on page 48 undefined on input line 70.

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[48]

LaTeX Warning: Reference `032' on page 49 undefined on input line 199.

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LaTeX Warning: Reference `031' on page 49 undefined on input line 230.


LaTeX Warning: Citation `104' on page 49 undefined on input line 283.

[49]

LaTeX Warning: Reference `031' on page 50 undefined on input line 372.


LaTeX Warning: Reference `032' on page 50 undefined on input line 372.


LaTeX Warning: Reference `031' on page 50 undefined on input line 417.


LaTeX Warning: Reference `031' on page 50 undefined on input line 476.


LaTeX Warning: Reference `032' on page 50 undefined on input line 476.

[50] [51]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
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LaTeX Warning: Citation `66' on page 52 undefined on input line 651.


LaTeX Warning: Citation `201' on page 52 undefined on input line 678.

[52]

LaTeX Warning: Citation `201' on page 53 undefined on input line 680.

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LaTeX Warning: Citation `71000' on page 55 undefined on input line 948.

[55]

LaTeX Warning: Reference `049' on page 56 undefined on input line 1019.


LaTeX Warning: Citation `71000' on page 56 undefined on input line 1129.

[56]

LaTeX Warning: Reference `2.12' on page 57 undefined on input line 1231.


LaTeX Warning: Reference `2.12' on page 57 undefined on input line 1245.

[57]

LaTeX Warning: Reference `2222' on page 58 undefined on input line 1308.

Missing character: There is no ¸ in font cmr8!

LaTeX Warning: Reference `2.12' on page 58 undefined on input line 1375.


LaTeX Warning: Reference `2.12' on page 58 undefined on input line 1399.

[58] [59]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
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[60]
! Extra }, or forgotten \endgroup.
l.1534  \end{proof}}
                    
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

[61] [62] [63]
! Extra }, or forgotten \endgroup.
l.1622 پس بنابر لم \ref{$aRb$}}
                                        ، برای هر
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.


Overfull \hbox (21.73213pt too wide) in paragraph at lines 1665--1686
[]\EU1/XBNiloofar(0)/m/n/12 یک $\OML/cmm/m/it/12 R$\EU1/XBNiloofar(0)/m/n/12 
-مدول با خود ریختی $\OML/cmm/m/it/12 v$\EU1/XBNiloofar(0)/m/n/12 
است. درون ریختی $\OML/cmm/m/it/12 ^^^$ \EU1/XBNiloofar(0)/m/n/12 ا
ز حلقه ی $\OML/cmm/m/it/12 A \OT1/cmr/m/n/12 = []$[]
 []

[64] [65]
Overfull \hbox (68.33087pt too wide) in paragraph at lines 1733--1736
[]$\OML/cmm/m/it/12 r[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 JR\OT1/cmr/m/n/12 ((\O
ML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ; \OML/cmm/m/it/12 ^^[; ^^N\OT1/cmr/m/n/12 ))
)$\EU1/XBNiloofar(0)/m/n/12 . از سوی دیگر $\OML/cmm/m/it/12 R\OT1/cmr/
m/n/12 ((\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ; \OML/cmm/m/it/12 ^^[; ^^N\OT1/cm
r/m/n/12 ))$ \EU1/XBNiloofar(0)/m/n/12 شبه-بئر است و $\OML/cmm/m/it/1
2 r[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 JR\OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 x[]
\OT1/cmr/m/n/12 ; \OML/cmm/m/it/12 ^^[; ^^N\OT1/cmr/m/n/12 ))) =$[]
 []

[66]
Overfull \hbox (0.2992pt too wide) in paragraph at lines 1756--1757
[]\EU1/XBNiloofar(0)/m/n/12 وجود دارد به طوری که $\OML/cmm/m/it
/12 e\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 b \OT
1/cmr/m/n/12 = \OML/cmm/m/it/12 b$\EU1/XBNiloofar(0)/m/n/12 . از آنجا ک
 $\OML/cmm/m/it/12 e\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )$ \EU1
/XBNiloofar(0)/m/n/12 یک خودتوان نیم مرکزی چپ از $\OML/cmm
/m/it/12 R\OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ; \OML/cmm/m/it
/12 ^^[; ^^N\OT1/cmr/m/n/12 ))$[]
 []

[67] [68]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
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[69] [70] [71] [72]
Overfull \hbox (1.32263pt too wide) in paragraph at lines 1907--1908
[][]\EU1/XBNiloofar(0)/bx/n/12 نتیجه ۴‏.‏۵‏.‏۸. \EU1/XBNiloofar
(0)/m/it/12 فرض کنیم $\OML/cmm/m/it/12 R$ \EU1/XBNiloofar(0)/m/it/12 ی
 حلقه ی $\OML/cmm/m/it/12 p:q$\EU1/XBNiloofar(0)/m/it/12 -بئر ضعیف
 است که در شرط $\OML/cmm/m/it/12 ACC$ \EU1/XBNiloofar(0)/m/it/12 رو
ی پوچساز‌های[]
 []


Overfull \hbox (1.32263pt too wide) in paragraph at lines 1910--1911
[][]\EU1/XBNiloofar(0)/bx/n/12 نتیجه ۴‏.‏۵‏.‏۹. \EU1/XBNiloofar
(0)/m/it/12 فرض کنیم $\OML/cmm/m/it/12 R$ \EU1/XBNiloofar(0)/m/it/12 ی
 حلقه ی $\OML/cmm/m/it/12 p:q$\EU1/XBNiloofar(0)/m/it/12 -بئر ضعیف
 است که در شرط $\OML/cmm/m/it/12 ACC$ \EU1/XBNiloofar(0)/m/it/12 رو
ی پوچساز‌های[]
 []


Overfull \hbox (21.86736pt too wide) in paragraph at lines 1914--1915
[][]\EU1/XBNiloofar(0)/bx/n/12 گزاره ۴‏.‏۵‏.‏۱۰. \EU1/XBNiloof
ar(0)/m/it/12 فرض کنیم $\OML/cmm/m/it/12 R$ \EU1/XBNiloofar(0)/m/it/12 
لقه ی $\OML/cmm/m/it/12 APP$ \EU1/XBNiloofar(0)/m/it/12 چپ (راست) $\
OML/cmm/m/it/12 ^^[$\EU1/XBNiloofar(0)/m/it/12 -صلب ضعیف است. اگر 
$\OML/cmm/m/it/12 R\OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ; \OML
/cmm/m/it/12 ^^[; ^^N\OT1/cmr/m/n/12 ))$[]
 []

[73] [74] [75]) [76]
\openout2 = `chapter6.aux'.

 (./chapter6.tex
فصل 5.

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[77



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! LaTeX Error: \begin{enumerate} on input line 25 ended by \end{prop}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.31 \end{prop}
               
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


Underfull \hbox (badness 10000) in paragraph at lines 53--56
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[83]
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[]$[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ax[]\OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12
 ^^N\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 a\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 x[] \O
T1/cmr/m/n/12 + \OML/cmm/m/it/12 ^^[\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 a\OT1/cmr
/m/n/12 )[](\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 )$\EU1/XBNiloofar(0)/m/n/12 . 
ز آنجا $\OML/cmm/m/it/12 I$ \EU1/XBNiloofar(0)/m/n/12 که یک $\OML/cmm
/m/it/12 ^^N$\EU1/XBNiloofar(0)/m/n/12 -ایده آل راست از $\OML/cmm/m
/it/12 R$ \EU1/XBNiloofar(0)/m/n/12 است، آنگاه $\OML/cmm/m/it/12 I\OT1
/cmr/m/n/12 ((\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ; \OML/cmm/m/it/12 ^^[\OT1/cm
r/m/n/12 ; \OML/cmm/m/it/12 ^^N\OT1/cmr/m/n/12 ))$[]
 []

[84] [85] [86]
! Undefined control sequence.
l.256 ...ظر می رسد که هر عضو $a\inA
                                                  $  می تواند مول...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.263 \section
              {توسیع های اور $\pi$-بئر اریب }
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 263.


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[87] [88]
! Extra }, or forgotten \endgroup.
l.288 ...است. بنابراین با \ref{semi}}
                                                  ،  $e$ همچنین  یک...
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Undefined control sequence.
l.319 ...\subseteq I$ و بنابر ref{I(R)22}\،
                                                   $e_j\in I(R)$ $e(x)p(x)\i...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[89]

LaTeX Warning: Reference `p2' on page 90 undefined on input line 344.


LaTeX Warning: Reference `p3' on page 90 undefined on input line 346.


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.353 \begin
            {cor}\cite[قضیه 4.2]{BirpBaer}
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

[90]

LaTeX Warning: Citation `Hong-rigid' on page 91 undefined on input line 365.

! Extra }, or forgotten \endgroup.
l.365 ...ت بنابر \cite[لم 4]{Hong-rigid} }
                                                  ، $J$ یک $(\sigma, \del...
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

) [91]
\openout2 = `ref.aux'.

 (./ref.tex
! Undefined control sequence.
l.4 \Latin
          
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

No file SMThesis.bbl.
[92



]
Underfull \hbox (badness 1648) in paragraph at lines 86--88
 []\EU1/lmroman10-regular(1)/m/n/10.95 K. H. Hofmann, Representations of algebr
as by continuous sections, \EU1/lmroman10-regular(1)/m/it/10.95 Bull. 
 []

[93] [94]
Missing character: There is no ^^96 in font [lmroman10-regular]/ICU:script=latn
;language=DFLT;mapping=tex-text;!

! Undefined control sequence.
l.227 \Persian
              
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[95]) [96]
\openout2 = `namad.aux'.

 (./namad.tex

! LaTeX Error: Environment supertabular undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.7 \begin{supertabular}
                        
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Misplaced alignment tab character &.
l.9 $\mathbb{N}$  &
                   
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.11 $ \mathbb{Q} $  &
                        میدان اعداد گویا  \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.12 $ \mathbb{C} $  &
                        میدان اعداد مختلط  \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.13 $ \forall $  &
                        به ازای هر \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.14 $ \exists $  &
                     وجود دارد، موجود است \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.15 $ A\subseteq B $  &
                          $ A $ زیر مجموعه $ B $ است \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.16 $ \in $ &
                  متعلق است به\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.17 $ (x_i)_{i\in \varsigma }$  &
                                    خانواده‌ی اندیس‌گذا...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.18 $ \{ x\in A \vert  p(x) \}$  &
                                     مجموعه $ x $ هایی از $ A $ ...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.19  $Z(R)$    &
                   مرکز حلقه  $ R $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.20  $ C_R(A) $  &
                     مرکز‌ساز  $ A $  در $ R $  \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.21  $ \text{spec}(A) $  &
                               مجموعه ایده‌ال‌های ماک...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.22 $ M_n(S) $   &
                     مجموعه ماتریس ‌های $ n\times n $ با ...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.23 $ e_{ij} $ &
                   ماتریس مربعی که تمام درایه‌های...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.24 $ I_n $  &
                 ماتریس همانی $ n\times n $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.27 $ A\cong B $  &
                      $ A $ یکریخت با $ B $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.29 $ A/B  $  &
                  حلقه خارج‌قسمتی   $A $ به پیمانه $ ...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.30 $ M_R$، $_RN $  &
                         $ R $-مدول راست $ M $، $ R $-مدول چپ...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.31 $ \text{End}_RV $ &
                           خودریختی های $ _RV $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.32  $ M\otimes_R N $  &
                           ضرب تانسوری $ M_R $ و $ _RN $\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.33 $\text{char}(R)$  &
                          مشخصه حلقه $ R $   \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.34 $ \text{rad}(R) $  &
                            رادیکال جیکوبسن  $ R $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.35 $ f: A\rightarrow B $ &
                             $ f $ نگاشتی از $ A $ به $ B $  اس...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.36 $ \text{Hom}(A, B) $ &
                            مجموعه تمام همریختی‌ها از...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.37 $ \text{Aut}(R) $  &
                             یکریختی‌های حلقه  $ R $  \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.38  $\text{Inn}(R)$   &
                               خودریختی‌های داخلی حلقه...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.39 $ \text{dim}_D(V) $  &
                             بعد $ D $-فضای برداری $ V $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.40 $ \text{rank}(t) $  &
                            رتبه $ t $   \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.41 $ \text{ACC} $  &
                        شرط زنجیر افزایشی \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.42 $ \text{DCC} $  &
                         شرط زنجیر کاهشی \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.43 $ \overline{K} $  &
                          بستار جبری  $ K $ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.44 $ \text{ann}_l(S)$ &
                          مجموعه پوچ‌سازهای چپ $ S $\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.45 $\text{ann}_r(S) $ &
                         
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.47 $ \text{soc}(_r(R)) $  &
                             
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.50 $ \text{soc}(_l(R)) $ &
                             مجموع ایده‌ال‌های چپ مین...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.51 $ \text{span}\{v, w\} $ &
                               فضای تولید شده توسط بردا...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.52 $\text{Aut(R)}$  &
                        خودریختی های حلقه $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.53 $\text{End(R)}$ &
                       درونریختی های حلقه $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.


! LaTeX Error: \mathbb allowed only in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.54 $\text{\mathbb{R}}
                       $  &  میدان اعداد حقیقی\\
You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

! Misplaced alignment tab character &.
l.54 $\text{\mathbb{R}}$  &
                             میدان اعداد حقیقی\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.55 $r_{R}(X)$ &
                   پوچساز راست $X$ روی $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.56 $\ell_{R}(X)$  &
                       پوچساز چپ $X$ روی $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.57 $N_{0}(R)$  &
                     رادیکال وردبورن حلقه $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.58 $\text{Nil}_{*} (R)$ &
                            رادیکال پوچ پایینی حلقه   $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.59 $\text{Nil}^{*}(R)$  &
                            رادیکال پوچ بالایی حلقه   $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.60 $\text{nil}(R)$ &
                       مجموعه عناصر پوچتوان حلقه $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.61 $J(R)$ &
                 رادیکال جیکوبسون $R$ \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.62 $\text{Soc}(R)$ &
                        بنیان چپ حلقه $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.63 $U(R)$ &
                  مجموعه عناصر یکه   حلقه     $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.65 $C(R)$  &
               مرکز حلقه  $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.66 $\text{\bf{B}}(R)$ &
                          مجموعه خودتوان های مرکزی حل...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.


! LaTeX Error: \mathcal allowed only in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.67 $\text{\mathcal{S}}
                        _{r}(R)$ & مجموعه خودتوان های نیم...

You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

! Misplaced alignment tab character &.
l.67 $\text{\mathcal{S}}_{r}(R)$ &
                                   مجموعه خودتوان های نیم...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.


! LaTeX Error: \mathcal allowed only in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.68 $\text{\mathcal{S}}
                        _{l}(R)$ & مجموعه خودتوان های نیم...

You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

! Misplaced alignment tab character &.
l.68 $\text{\mathcal{S}}_{l}(R)$ &
                                   مجموعه خودتوان های نیم...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.69 $\text{rank} (R)$ &
                         رتبه گلدی حلقه   $R$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.70 $M_n(R)$ &
                 حلقه ماتریس‌های از مرتبه
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.72 $T_n(R)$  &
                  حلقه ماتریس‌های بالا مثلثی از م...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.74 $\text{supp}(f)$ &
                         تکیه گاه عنصر  $f$\\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.


! LaTeX Error: \begin{exa} on input line 253 ended by \end{supertabular}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.75 \end{supertabular}
                       
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

)
Underfull \hbox (badness 10000) in paragraph at lines 9--37
[][]
 []

[97



] [98] [99]
\openout2 = `dicfa2en.aux'.

 (./dicfa2en.tex
Missing character: There is no ُ in font [lmroman10-regular]/ICU:script=latn;l
anguage=DFLT;mapping=tex-text;!
Missing character: There is no ُ in font [lmroman10-regular]/ICU:script=latn;l
anguage=DFLT;mapping=tex-text;!

Underfull \hbox (badness 10000) in paragraph at lines 4--90
[][]
 []

[100



] [101] [102]) [103]
\openout2 = `dicen2fa.aux'.

 (./dicen2fa.tex
! Undefined control sequence.
<recently read> \persianhgloss 
                               
l.50 \persianhgloss
                   {آبلی}{Abelian}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \persianglossx 
                               
l.65 \persianglossx
                   {تصویری اصلی}{Projective-free}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

Missing character: There is no ُ in font [lmroman10-regular]/ICU:script=latn;l
anguage=DFLT;mapping=tex-text;!
Missing character: There is no ُ in font [lmroman10-regular]/ICU:script=latn;l
anguage=DFLT;mapping=tex-text;!
)
Underfull \hbox (badness 10000) in paragraph at lines 14--39
[][]
 []

[104



] [105] [106] [107]
No file SMThesis.ind.
\openout2 = `abstract.aux'.

(./abstract.tex

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.5 \latinfont
              
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Undefined control sequence.
l.7  \Latin
           
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[108


]

! LaTeX Error: \begin{LTRitems} on input line 8 ended by \end{latinabstract}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.18 \end{latinabstract}
                        
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

)
! Undefined control sequence.
l.49 \printabstract
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

(./en_title.tex
Underfull \hbox (badness 10000) in paragraph at lines 26--26

 []


Underfull \hbox (badness 10000) in paragraph at lines 26--26

 []


Underfull \hbox (badness 10000) in paragraph at lines 26--26

 []


Underfull \hbox (badness 10000) in paragraph at lines 26--26

 []


Underfull \hbox (badness 10000) in paragraph at lines 26--26

 []


Underfull \hbox (badness 10000) in paragraph at lines 26--26

 []

! Undefined control sequence.
\latinvtitle ...ndent \textbf {Abstract}\par \@en 
                                                  -abstract\end {frame}\begi...
l.26 \latinvtitle
                 
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[109


]
File: logo.jpg Graphic file (type QTm)
 <use  "logo.jpg" > [110]) 
AED: lastpage setting LastPage

! LaTeX Error: \begin{exa} on input line 253 ended by \end{document}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.52 \end{document}
                   
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

Package atveryend Info: Empty hook `BeforeClearDocument' on input line 52.
Package atveryend Info: Empty hook `AfterLastShipout' on input line 52.
(./SMThesis.aux (./besm.aux) (./hagh.aux) (./fa_title.aux) (./int.aux)
(./chapter1.aux) (./chapter2.aux) (./chapter4.aux) (./chapter5.aux)
(./chapter6.aux) (./ref.aux) (./namad.aux) (./dicfa2en.aux) (./dicen2fa.aux)
(./abstract.aux))
Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 52.
Package atveryend Info: Empty hook `AtEndAfterFileList' on input line 52.


LaTeX Font Warning: Some font shapes were not available, defaults substituted.


LaTeX Warning: There were undefined references.


LaTeX Warning: There were multiply-defined labels.

 )
(\end occurred inside a group at level 9)

### semi simple group (level 9) entered at line 253 (\begingroup)
### semi simple group (level 8) entered at line 88 (\begingroup)
### semi simple group (level 7) entered at line 23 (\begingroup)
### semi simple group (level 6) entered at line 1410 (\begingroup)
### simple group (level 5) entered at line 1067 ({)
### semi simple group (level 4) entered at line 804 (\begingroup)
### semi simple group (level 3) entered at line 670 (\begingroup)
### simple group (level 2) entered at line 49 ({)
### simple group (level 1) entered at line 43 ({)
### bottom level 
Here is how much of TeX's memory you used:
 22730 strings out of 494146
 355502 string characters out of 3155807
 517332 words of memory out of 3000000
 25419 multiletter control sequences out of 15000+200000
 22036 words of font info for 173 fonts, out of 3000000 for 9000
 1018 hyphenation exceptions out of 8191
 41i,11n,64p,1231b,1199s stack positions out of 5000i,500n,10000p,200000b,50000s

Error 1 (driver return code) generating output;
file SMThesis.pdf may not be valid.
