Ideals with linear quotients and componentwise polymatroidal ideals
Commutative Algebra
2021-08-03 v1
Abstract
If is a monomial ideal with linear quotients, then it has componentwise linear quotients. However, the converse of this statement is an open question. In this paper, we provide two classes of ideals for which the converse of this statement holds. First class is the componentwise polymatroidal ideals in and the second one is the componentwise polymatroidal ideals with strong exchange property.
Cite
@article{arxiv.2108.00531,
title = {Ideals with linear quotients and componentwise polymatroidal ideals},
author = {Somayeh Bandari and Ayesha Asloob Qureshi},
journal= {arXiv preprint arXiv:2108.00531},
year = {2021}
}