The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913822166482944 |
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| author | Davis, Caitlin M. Martinova, Boyana |
| author_facet | Davis, Caitlin M. Martinova, Boyana |
| contents | We prove that truncations of nonstandard graded polynomial rings are (nonstandard) Koszul modules in the sense of Herzog and Iyengar. This provides an analogue of the fact that such truncations have linear resolutions in the standard graded case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17541 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings Davis, Caitlin M. Martinova, Boyana Commutative Algebra 13D02, 13A02 We prove that truncations of nonstandard graded polynomial rings are (nonstandard) Koszul modules in the sense of Herzog and Iyengar. This provides an analogue of the fact that such truncations have linear resolutions in the standard graded case. |
| title | The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings |
| topic | Commutative Algebra 13D02, 13A02 |
| url | https://arxiv.org/abs/2503.17541 |