On S-(h-)divisible modules and their S-strongly flat covers
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908512153501696 |
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| author | Zhang, Xiaolei |
| author_facet | Zhang, Xiaolei |
| contents | It was proved in [3] that every h-divisible modules admits an strongly flat cover over all integral domains; and every divisible module over an integral domain R admits a strongly flat cover if and only if R is a Matlis domain. In this paper, we extend these two results to commutative rings with multiplicative subsets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On S-(h-)divisible modules and their S-strongly flat covers Zhang, Xiaolei Commutative Algebra It was proved in [3] that every h-divisible modules admits an strongly flat cover over all integral domains; and every divisible module over an integral domain R admits a strongly flat cover if and only if R is a Matlis domain. In this paper, we extend these two results to commutative rings with multiplicative subsets. |
| title | On S-(h-)divisible modules and their S-strongly flat covers |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2509.01045 |