Modules which have a rad-supplement that is a direct summand in every extension

• Date: 2018
• Main Authors: Türkmen, Burcu Nişancı, Türkmen, Ergül
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(\operatorname{Rad}\)-supplement; module with the properties (RE) and (SRE); artinian serial ring; 16D10; 16D50; 16N80
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/159
• Journal Title: Algebra and Discrete Mathematics

In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module \(M\) is \(\operatorname{Rad}\)-supplementing if and only if \(M\) has the property (SRE). Moreover, we show tha...