The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings

Published 21 Mar 2025 in math.AC | (2503.17541v2)

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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