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On FGS -Modules

We consider R a non-necessarily commutative ring with unity I t 0 and M a module over R. By using the category o-IMI we introduce the notion of FOS-module. The latter generalizes the notion or FGS -ring. In this paper we fix the ring R and study M for which every hopfian module of o -IMI hecomes finitely generated. These kinds of 'nodules arc said to he [05-modules. Some properties of FOS-module, a characterization of semisimple [CS-module and of serial FOS-module over a duo ring have heen obtained.

Auteur(s) : Alhousseynou BA I& Oumar Diankha 1
Pages : 61-64
Année de publication : 2013
Revue : Journal of Mathematics Research
N° de volume : Vol. 5, No. I,
Type : Article
Mise en ligne par : DIANKHA Oumar