Generalized \(\oplus\)-supplemented modules

• Date: 2018
• Main Authors: Calısıcı, Hamza, Turkmen, Ergul
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: generalized cover; generalized supplemented module; \(\oplus\)-supplemented module; generalized \(\oplus\)-supplemented module; 16D10,16D99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/647
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a ring and \(M\) be a left \(R\)-module. \(M\) is called generalized \(\oplus\)- supplemented  if every submodule of \(M\) has a generalized supplement that is a direct summand of \(M\). In this paper we give various properties of such modules. We show that any finite direct sum of gene...