Differential modules: a perspective on Bass' question
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910130442862592 |
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| author | Nkansah, David |
| author_facet | Nkansah, David |
| contents | Guided by the $Q$-shaped derived category framework introduced by Holm and Jorgensen, we provide a differential module analogue of a classical result that characterises when a finitely generated module over a local commutative noetherian ring has finite injective dimension. As an application, we characterise local Cohen-Macaulay rings using the homological algebra of differential modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15981 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differential modules: a perspective on Bass' question Nkansah, David Representation Theory Commutative Algebra 13H10, 16E65, 18G10 (primary), 18G35 (secondary) Guided by the $Q$-shaped derived category framework introduced by Holm and Jorgensen, we provide a differential module analogue of a classical result that characterises when a finitely generated module over a local commutative noetherian ring has finite injective dimension. As an application, we characterise local Cohen-Macaulay rings using the homological algebra of differential modules. |
| title | Differential modules: a perspective on Bass' question |
| topic | Representation Theory Commutative Algebra 13H10, 16E65, 18G10 (primary), 18G35 (secondary) |
| url | https://arxiv.org/abs/2504.15981 |