On Two Classes of Modules Related to CS Trivial Extensions

Autor:	Kourki, Farid, Tribak, Rachid
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras 16D10 16D70 16D80
Druh dokumentu:	Working Paper
Popis:	All rings considered are commutative. In this article we introduce and study two notions of modules which are stronger than CS modules, namely weakly IN modules and strongly CS modules. Our main aim is to characterize when a trivial extension $A=R\propto M$ (of a ring $R$ by an $R$-module $M$) is a CS ring.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.09915 Zobrazit plný text záznamu View this record from Arxiv