Survey on second submodules of modules over commutative rings
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909998265663488 |
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| author | Farshadifar, Faranak |
| author_facet | Farshadifar, Faranak |
| contents | Let R be a commutative ring with identity. The concept of second submodule of an R-module (as a dual notion of prime submodules) was introduced and studied by S.Yassemi in 2001. This notion has obtained a great attention by many authors and now there is a considerable amount of research concerning this class of modules. The main purpose of this paper is to collect these results and provide a useful source for those who are interested in research in this field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09333 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Survey on second submodules of modules over commutative rings Farshadifar, Faranak Commutative Algebra Let R be a commutative ring with identity. The concept of second submodule of an R-module (as a dual notion of prime submodules) was introduced and studied by S.Yassemi in 2001. This notion has obtained a great attention by many authors and now there is a considerable amount of research concerning this class of modules. The main purpose of this paper is to collect these results and provide a useful source for those who are interested in research in this field. |
| title | Survey on second submodules of modules over commutative rings |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2411.09333 |