Rings for which general linear forms are exact zero divisors
Commutative Algebra
2026-02-04 v1
Abstract
We investigate the standard graded -algebras over a field of characteristic zero for which general linear forms are exact zero divisors. We formulate a conjecture regarding the Hilbert function of such rings. We prove our conjecture in the case when the ring is a quotient of a polynomial ring by a monomial idea, and also in the case when the ideal is generated in degree 2 and all but one of the generators are monomials.
Cite
@article{arxiv.2407.16000,
title = {Rings for which general linear forms are exact zero divisors},
author = {Ayden Eddings and Adela Vraciu},
journal= {arXiv preprint arXiv:2407.16000},
year = {2026}
}