Modules whose minimal free resolutions are self-dual or eventually periodic
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917172204273664 |
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| author | Kosaka, Shinnosuke |
| author_facet | Kosaka, Shinnosuke |
| contents | Let $R$ be a commutative noetherian local ring. In this paper, we study the self-duality and eventual periodicity of minimal free resolutions of finitely generated $R$-modules in terms of their syzygy modules and Ext modules. As an application, we recover theorems of Dey. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modules whose minimal free resolutions are self-dual or eventually periodic Kosaka, Shinnosuke Commutative Algebra 13D02, 13H10 Let $R$ be a commutative noetherian local ring. In this paper, we study the self-duality and eventual periodicity of minimal free resolutions of finitely generated $R$-modules in terms of their syzygy modules and Ext modules. As an application, we recover theorems of Dey. |
| title | Modules whose minimal free resolutions are self-dual or eventually periodic |
| topic | Commutative Algebra 13D02, 13H10 |
| url | https://arxiv.org/abs/2512.22595 |