On Two Classes of Modules Related to CS Trivial Extensions II
Farid Kourki and Rachid Tribak
Equipe de Recherche: Algèbre & Didactique des Mathématiques, Centre Régional des Métiers de
l’Education et de la Formation de la Région Tanger-Tétouan-Al Hoceima, (CRMEF-TTH)-Tanger,
Avenue My Abdelaziz, Souani, BP: 3117, Tangier, Morocco
Pages 249–264 | Received 27 November 2023, Accepted 15 February 2024, Published 08 November 2024
Abstract
All rings considered are commutative. Recently, we introduced the notions of weakly IN modules and strongly CS modules in [9]. In this article, we continue the study of these two properties, providing new characterizations and results on the subject. In addition, we introduce and investigate modules and rings satisfying a stronger property than that of being weakly IN
Keywords: CS-ring, s-weakly IN property, strongly CS module (ring), trivial extension, weakly IN module (ring).
MSC numbers: Primary 16D10, 16D60, 16D70; Secondary 16D80.
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