Acyclic complexes and regular rings
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912844805570560 |
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| author | Christensen, Lars Winther Estrada, Sergio Thompson, Peder |
| author_facet | Christensen, Lars Winther Estrada, Sergio Thompson, Peder |
| contents | A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show that the relevant properties of such complexes are equivalent without reference to regularity of the ring and that they characterize coherent regular rings and von Neumann regular rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09831 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Acyclic complexes and regular rings Christensen, Lars Winther Estrada, Sergio Thompson, Peder Rings and Algebras 16E65, 16E05, 16E50 A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show that the relevant properties of such complexes are equivalent without reference to regularity of the ring and that they characterize coherent regular rings and von Neumann regular rings. |
| title | Acyclic complexes and regular rings |
| topic | Rings and Algebras 16E65, 16E05, 16E50 |
| url | https://arxiv.org/abs/2506.09831 |