About the Cohen-Macaulay defect and almost Cohen-Macaulay rings
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911962818936832 |
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| author | Ionescu, Cristodor |
| author_facet | Ionescu, Cristodor |
| contents | We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay defect in the same way that the condition $(S_n)$ is connected to Cohen-Macaulay modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | About the Cohen-Macaulay defect and almost Cohen-Macaulay rings Ionescu, Cristodor Commutative Algebra We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay defect in the same way that the condition $(S_n)$ is connected to Cohen-Macaulay modules. |
| title | About the Cohen-Macaulay defect and almost Cohen-Macaulay rings |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2402.06566 |