The proper class generated by τ -supplements
Journal of Algebra and its Applications, vol.24, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 24
- Publication Date: 2025
- Doi Number: 10.1142/s0219498825502123
- Journal Name: Journal of Algebra and its Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Keywords: Proper class, (tau-)supplement submodule, torsion theory, tau(R)-semiperfect ring
- Dokuz Eylül University Affiliated: Yes
Abstract
In this paper, we study supplement submodules with respect to a torsion class of any torsion theory, generalizing the concepts of sa-supplement, extended S-supplement, Rad-supplement submodules, etc. We give some homological properties of this class of modules, which forms a proper class, and use them to characterize some rings in terms of those certain modules.