MODULES WITH THE PROPERTY Rad(g)
JOURNAL OF SCIENCE AND ARTS, no.4, pp.821-828, 2022 (ESCI)
- Publication Type: Article / Article
- Publication Date: 2022
- Doi Number: 10.46939/j.sci.arts-22.4-a04
- Journal Name: JOURNAL OF SCIENCE AND ARTS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.821-828
- Keywords: g-radical supplement, extension, SSI-ring, semisimple commutative ring, SUPPLEMENT
- Ondokuz Mayıs University Affiliated: Yes
Abstract
In this article, we introduce modules with the property Rad(g) and provide various properties of this module. Firstly, we prove that every semisimple module has the property Rad(g). We also indicate that the class of modules with the property Rad(g) is closed under finite direct sum and direct summands. Moreover, we define the concepts of g (radical) cover. We show that factor modules of a module with the property Radg have the property Rad(g) under special condition. Additionally, we characterize semisimple commutative rings via modules with the property Rad(g).