Modules whose maximal submodules have \(\tau\)-supplements

• Date: 2018
• Main Author: Buyukasık, Engin
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: preradical; \(\tau\)-supplement; \(\tau\)-local; 16D10; 16N80
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/646
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a ring and \(\tau\) be a preradical for  the category of left \(R\)-modules. In this paper, we study on modules whose maximal submodules have \(\tau\)-supplements. We give some characterizations of these modules in terms their certain submodules, so called \(\tau\)-local submodules. For...