A variation of supplement submodules
Journal of Algebra and its Applications, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1142/s0219498827502562
- Journal Name: Journal of Algebra and its Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- Keywords: F-◃-almost injective modules, quivers, ◃-almost injective modules, ◃-Supplement submodules, ◃-supplemented modules
- Hacettepe University Affiliated: Yes
Abstract
In this paper, we introduce and study ◃-supplement submodules and ◃-almost injective modules. A submodule N of a module M is called a ◃-supplement in M if there exists a submodule K of M such that M = N + K, N ∩ K is small and fully invariant in N. A module M is called ◃-almost injective, if M is a ◃-supplement submodule of every module which contains M. We investigate several properties of these notions and present new characterizations of some classes of rings in terms of ◃-supplement submodules.