Module-Theoretic Characterizations of Gorenstein Morphisms
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916625702191104 |
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| author | Levins, Andrew Soto Sridhar, Prashanth |
| author_facet | Levins, Andrew Soto Sridhar, Prashanth |
| contents | The Gorenstein property in local algebra admits several characterizations via its module category. The goal of this paper is to collect and generalize such characterizations to the relative setting, i.e., to Gorenstein morphisms as defined by [AF92]. We achieve this by proving these characterizations more generally for graded-commutative Gorenstein dg-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16004 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Module-Theoretic Characterizations of Gorenstein Morphisms Levins, Andrew Soto Sridhar, Prashanth Commutative Algebra 13H10 The Gorenstein property in local algebra admits several characterizations via its module category. The goal of this paper is to collect and generalize such characterizations to the relative setting, i.e., to Gorenstein morphisms as defined by [AF92]. We achieve this by proving these characterizations more generally for graded-commutative Gorenstein dg-algebras. |
| title | Module-Theoretic Characterizations of Gorenstein Morphisms |
| topic | Commutative Algebra 13H10 |
| url | https://arxiv.org/abs/2502.16004 |