\(S\)-second submodules of a module

• Date: 2022
• Main Author: Farshadifar, F.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: second submodule; \(S\)-second submodule; \(S\)-cotorsion-free module; simple module; 13C13; 13C05; 13A15; 16D60; 13H15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1437
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module. The main purpose of this paper is to introduce and study the notion of \(S\)-second submodules of an \(R\)-module \(M\) as a~generalization of second submodules of \(M\).