On J-torsionless modules
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917231427846144 |
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| author | Dutta, Dimpy Mala Buhphang, A. M. Rege, M. B. |
| author_facet | Dutta, Dimpy Mala Buhphang, A. M. Rege, M. B. |
| contents | In this paper, we introduce the concept of JReject of a class of modules as a generalization of the notion of reject of a class of modules. We also introduce the notion of J-torsionless modules and give a characterization of regularity on the basis of the J-torsionless condition. A necessary and sufficient condition on $R$ is also given for every cyclic module over $R$ to be J-torsionless. Finally, we give a description of self-injective rings over which every module is J-torsionless. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21556 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On J-torsionless modules Dutta, Dimpy Mala Buhphang, A. M. Rege, M. B. Rings and Algebras 16D10, 16D40, 16D50, 16N60 In this paper, we introduce the concept of JReject of a class of modules as a generalization of the notion of reject of a class of modules. We also introduce the notion of J-torsionless modules and give a characterization of regularity on the basis of the J-torsionless condition. A necessary and sufficient condition on $R$ is also given for every cyclic module over $R$ to be J-torsionless. Finally, we give a description of self-injective rings over which every module is J-torsionless. |
| title | On J-torsionless modules |
| topic | Rings and Algebras 16D10, 16D40, 16D50, 16N60 |
| url | https://arxiv.org/abs/2601.21556 |