On Two Classes of Modules Related to CS Trivial Extensions
Rings and Algebras
2021-12-21 v1
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 (of a ring by an -module ) is a CS ring.
Keywords
Cite
@article{arxiv.2112.09915,
title = {On Two Classes of Modules Related to CS Trivial Extensions},
author = {Farid Kourki and Rachid Tribak},
journal= {arXiv preprint arXiv:2112.09915},
year = {2021}
}