%0 Journal Article
%T On $FGS$-Modules
%A Alhousseynou BA
%A Oumar Diankha
%J Journal of Mathematics Research
%D 2013
%I 
%R 10.5539/jmr.v5n1p61
%X We consider $R$ a non-necessarily commutative ring with unity $1 eq 0$ and $M$ a module over $R$. By using the category $sigma[M]$ we introduce the notion of $FGS$-module. The latter generalizes the notion of $FGS$-ring. In this paper we fix the ring $R$ and study $M$ for which every hopfian module of $sigma[M]$ becomes finitely generated. These kinds of modules are said to be $FGS$-modules. Some properties of $FGS$-module, a characterization of semisimple $FGS$-module and of serial $FGS$-module over a duo ring have been obtained.
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/24122