| Autor: |
Ulucak Gülşen, Tekir Ünsal, Koç Suat |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 28, Iss 2, Pp 239-257 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1844-0835 |
| DOI: |
10.2478/auom-2020-0030 |
| Popis: |
Let R be a commutative ring and M an R-module. In this article, we introduce the concept of S-2-absorbing submodule. Suppose that S ⊆ R is a multiplicatively closed subset of R. A submodule P of M with (P :R M) ∩ S = ∅ is said to be an S-2-absorbing submodule if there exists an element s ∈ S and whenever abm ∈ P for some a, b ∈ R and m ∈ M, then sab ∈ (P :R M) or sam ∈ P or sbm ∈ P. Many examples, characterizations and properties of S-2-absorbing submodules are given. Moreover, we use them to characterize von Neumann regular modules in the sense [9]. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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