A generalization of supplemented modules

• Date: 2018
• Main Authors: Inankil, Hatice, Halıcıoglu, Sait, Harmanci, Abdullah
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: supplemented modules; \(\delta\)-supplemented modules; principally \(\delta\)-supplemented modules; semiperfect modules; \(\delta\)-semiperfect modules; principally \(\delta\)-semiperfect modules; 16U80
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/660
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be an arbitrary ring with identity and \(M\) a right \(R\)-module. In this paper, we introduce a class of modules which is an analogous of  \(\delta\)-supplemented modules defined by Kosan. The module \(M\) is called  principally \(\delta\)-supplemented, for all \(m\in M\) there exists a s...