On a variation of \(\oplus\)-supplemented modules

• Дата: 2024
• Автор: Kaynar, Engin
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: \(ss\)-supplement submodule; \(\oplus_{ss}\)-supplemented module; 16D10; 16D60; 16D99
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2273
• Назва журналу: Algebra and Discrete Mathematics

Let \(R\) be a ring and \(M\) be an \(R\)-module. \(M\) is called \(\oplus_{ss}\)-supplemented if every submodule of \(M\) has a \(ss\)-supplement that is a direct summand of \(M\). In this paper, the basic properties and characterizations of \(\oplus_{ss}\)-supplemented modules are provided. In par...