Generalized square-difference factor absorbing submodules of modules over commutative rings
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| author | Leoreanu-Fotea, Violeta Celikel, Ece Yetkin Arabaci, Tarik Tekir, Unsal |
| author_facet | Leoreanu-Fotea, Violeta Celikel, Ece Yetkin Arabaci, Tarik Tekir, Unsal |
| contents | In this paper, we introduce and study the class of generalized square-difference factor absorbing (gsdf-absorbing) submodules of modules over commutative rings. We provide various characterizations and properties of gsdf-absorbing submodules and examine the behavior of this class of submodules in some module extensions, including localization, homomorphic images, direct products, idealization, and amalgamation. We also characterize all gsdf-absorbing submodules of the Z-module Z. Several examples are provided to illustrate the results and to distinguish this class from related notions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04954 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized square-difference factor absorbing submodules of modules over commutative rings Leoreanu-Fotea, Violeta Celikel, Ece Yetkin Arabaci, Tarik Tekir, Unsal Commutative Algebra 13A15, 13C05, 13C13 In this paper, we introduce and study the class of generalized square-difference factor absorbing (gsdf-absorbing) submodules of modules over commutative rings. We provide various characterizations and properties of gsdf-absorbing submodules and examine the behavior of this class of submodules in some module extensions, including localization, homomorphic images, direct products, idealization, and amalgamation. We also characterize all gsdf-absorbing submodules of the Z-module Z. Several examples are provided to illustrate the results and to distinguish this class from related notions. |
| title | Generalized square-difference factor absorbing submodules of modules over commutative rings |
| topic | Commutative Algebra 13A15, 13C05, 13C13 |
| url | https://arxiv.org/abs/2604.04954 |