On two classes of modules related to CS trivial extensions
Farid Kourki & Rachid Tribak
Centre Régional des Métiers de l’Education et de la Formation (CRMEF)-Tanger, Annexe de
Larache, B.P. 4063, Larache, Morocco;
Centre Régional des Métiers de l’Education et de la Formation (CRMEF)-Tanger, Avenue My
Abdelaziz, Souani, B.P. 3117, Tangier, Morocco
Pages 108-121 | Received 04 November 2021, Accepted 28 January 2022, Published 01 June 2022
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.
Keywords: CS-ring, strongly CS module (ring), trivial extension, weakly IN module (ring).
MSC numbers: Primary 16D10, 16D70; Secondary 16D80.
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