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- Title
On Almost S-2-Absorbing Submodules.
- Authors
Naji, Osama A.; Özen, Mehmet; Tekir, Ünsal
- Abstract
Let R be a commutative ring and M an R-module. A submodule N of M is said to be almost S-2-absorbing, where S is a given multiplicatively closed subset of R, if (N :R M) ∩ S = φ and there exists a fixed element s ∈ S such that whenever abm ∈ N - (N :R M)N for some a, b ∈ R and m ∈ M, then sam ∈ N or sbm ∈ N or sab ∈ (N :R M). Almost S-2-absorbing concept generalizes the class of almost 2-absorbing submodules. Many examples and characterizations of almost S-2-absorbing submodules are given, especially for finitely generated faithful multiplication modules. Moreover, several basic properties are investigated.
- Subjects
MULTIPLICATION; COHOMOLOGY theory; MODULES (Algebra); COMMUTATIVE rings
- Publication
Southeast Asian Bulletin of Mathematics, 2023, Vol 47, Issue 2, p229
- ISSN
0129-2021
- Publication type
Article