A quasi-additive property of homological shift ideals
Commutative Algebra
2023-10-24 v1
Abstract
In this paper, we investigate which classes of monomial ideals have a quasi-additive property of homological shift ideals. More precisely, for a monomial ideal we are interested to find out whether . It turns out that -bounded principal Borel ideals as well as polymatroidal ideals satisfying strong exchange property, and polymatroidal ideals generated in degree two have this quasi-additive property. For squarefree Borel ideals, we even have equality. Besides, the inclusion holds for every equigenerated Borel ideal and polymatroidal ideal when .
Keywords
Cite
@article{arxiv.2310.14247,
title = {A quasi-additive property of homological shift ideals},
author = {Shamila Bayati},
journal= {arXiv preprint arXiv:2310.14247},
year = {2023}
}