Generalized 2-absorbing and strongly generalized 2-absorbing second submodules

• Date: 2020
• Main Authors: ‎Ansari-Toroghy, H., Farshadifar, F., ‎Maleki-Roudposhti, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: second; generalized 2-absorbing second; 13C13‎; ‎13C99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/585
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a commutative ring with identity. A proper submodule \(N\) of an \(R\)-module \(M\) is said to be a 2-absorbing submodule of  \(M\) if whenever \(abm \in N\) for some \(a, b \in R\) and \(m \in M\), then \(am \in N\) or \(bm \in N\) or \(ab \in (N :_R M)\). In [3], the authors introduce...