Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule
Let R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and M be a unital R-module. In this article, we introduce the concepts of S-semiannihilator small submodules and S-T-small submodules as generalizations of S-small submodules. We investigate some basic p...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/5547197 |
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| author | F. Farzalipour S. Rajaee P. Ghiasvand |
| author_facet | F. Farzalipour S. Rajaee P. Ghiasvand |
| author_sort | F. Farzalipour |
| collection | DOAJ |
| description | Let R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and M be a unital R-module. In this article, we introduce the concepts of S-semiannihilator small submodules and S-T-small submodules as generalizations of S-small submodules. We investigate some basic properties of them and give some characterizations of such submodules, especially for (finitely generated faithful) multiplication modules. |
| format | Article |
| id | doaj-art-81df9d6af6b4485da3389da57123cf7f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-81df9d6af6b4485da3389da57123cf7f2025-02-03T06:47:39ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/5547197Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a SubmoduleF. Farzalipour0S. Rajaee1P. Ghiasvand2Department of MathematicsDepartment of MathematicsDepartment of MathematicsLet R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and M be a unital R-module. In this article, we introduce the concepts of S-semiannihilator small submodules and S-T-small submodules as generalizations of S-small submodules. We investigate some basic properties of them and give some characterizations of such submodules, especially for (finitely generated faithful) multiplication modules.http://dx.doi.org/10.1155/2024/5547197 |
| spellingShingle | F. Farzalipour S. Rajaee P. Ghiasvand Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule Journal of Mathematics |
| title | Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule |
| title_full | Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule |
| title_fullStr | Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule |
| title_full_unstemmed | Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule |
| title_short | Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule |
| title_sort | some properties of s semiannihilator small submodules and s small submodules with respect to a submodule |
| url | http://dx.doi.org/10.1155/2024/5547197 |
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