Rad-supplements in injective modules

• Date: 2016
• Main Authors: Buyukasik, Engin, Tribak, Rachid
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: Almost injective modules; $Rad$-s-injective modules; Injective modules; $Rad$-supplement submodules; 16D50; 16D99; 16L30; 16L60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125
• Journal Title: 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...