On the vanishing of self extensions of even-periodic modules
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914902586687488 |
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| author | Celikbas, Ela Celikbas, Olgur Matsui, Hiroki Takahashi, Ryo |
| author_facet | Celikbas, Ela Celikbas, Olgur Matsui, Hiroki Takahashi, Ryo |
| contents | In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results over Cohen-Macaulay rings and investigate modules which have zero class in the reduced Grothendieck group with rational coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02820 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the vanishing of self extensions of even-periodic modules Celikbas, Ela Celikbas, Olgur Matsui, Hiroki Takahashi, Ryo Commutative Algebra 13D07 (Primary) 13H10, 13D05, 13C12 (Secondary) In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results over Cohen-Macaulay rings and investigate modules which have zero class in the reduced Grothendieck group with rational coefficients. |
| title | On the vanishing of self extensions of even-periodic modules |
| topic | Commutative Algebra 13D07 (Primary) 13H10, 13D05, 13C12 (Secondary) |
| url | https://arxiv.org/abs/2408.02820 |