The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-21
Primary Topic
Mathematical and Theoretical Analysis
Type
article
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article

The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings

ArXiv.org
Mathematical and Theoretical Analysis
article

The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings

article en

Abstract

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 46%
Mathematical and Theoretical Analysis
Open Access PDFOpenAlex
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The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings · ArXiv.org (2025) | TGRS Research Map | TGRS