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On Two Classes of Modules Related to CS Trivial Extensions (2112.09915v1)
Published 18 Dec 2021 in math.RA
Abstract: 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.
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