Extended S-supplement submodules
TURKISH JOURNAL OF MATHEMATICS, vol.43, no.6, pp.2833-2841, 2019 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 43 Issue: 6
- Publication Date: 2019
- Doi Number: 10.3906/mat-1907-107
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.2833-2841
- Keywords: S-supplement submodules, Goldie torsion theory, coinjective modules, CLOSED SUBMODULE, MODULES
- Çukurova University Affiliated: Yes
Abstract
In this paper, we introduced and studied extended S-supplement submodules. A submodule U of a module V is called extended S-supplement submodule in V if there exists a submodule T of V such that V = T +U and U boolean AND T is Goldie torsion. Extended S-supplement submodule is a dual notion of extended S-closed submodule. The class of extended S-supplement sequences is a proper class which is generated by nonsingular modules injectively. We studied coinjective objects of this class. Moreover, extended S-supplemented modules are also investigated. We present new characterizations of Z(2)(R-R) -semiperfect rings and SI-rings by extended S-supplement submodules.