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arXiv · 2503.17541

The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings

Caitlin M. Davis·Boyana Martinova
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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.

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Caitlin M. Davis, Boyana Martinova. 2025-05-06. The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings. https://arxiv.org/abs/2503.17541

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