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\begin{latin}
\latinuniversity{University of Bojnord}
\latinfaculty{Department of Mathematics }
\latinsubject{ Mathematical Analysis}
\latinfield{Harmonic Analysis}
\latintitle{Nonarchimedean Coalgebras}
\firstlatinsupervisor{Doctor Somayeh Mohammadzadeh}
\firstlatinadvisor{Doctor Abolfazl Niazimotlagh}
%\secondlatinadvisor{ Professor S. Hejazian}
\latinname{Maryam}
\latinsurname{Jafari}
\latinthesisdate{February 1395}
\latinkeywords{ Banach Coalgebras;Non­archimedean Banach Coalgebras ; Topological Coalgebras ; Modules and Comodules; Locally Convex Coalgebras.}
\en-abstract{ In this thesis after express the concepts and basic definitions, We express absolute value, nonarchimedean norm, nonarchimedean and discretely valued fields and examine their properties.\\
We also define algebra and coalgebra to completed tensor product $ \widehat{\otimes} $
And then we review banach $ \widehat{\otimes} $-coalgebras and their dual on a discretely valued field with nonarchimedean norm.\\
In the following, the banach $ \widehat{\otimes} $-coalgebras review banach $ \widehat{\otimes} $-comodules and their dual and Related cases on a discretely valued field with nonarchimedean norm .
}
\latinvtitle
\end{latin}