Rad-supplements in injective modules

• Дата: 2016
• Автори: Buyukasik, Engin, Tribak, Rachid
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: Almost injective modules; $Rad$-s-injective modules; Injective modules; $Rad$-supplement submodules; 16D50; 16D99; 16L30; 16L60
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125
• Назва журналу: Algebra and Discrete Mathematics

We introduce and study the notion of $Rad$-s-injective modules (i.e. modules which are $Rad$-supplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class of $Rad$-s-injective modules is closed under finite direct sums. We char...