English

Monomial ideals with regular quotients and some edge rings

Commutative Algebra 2023-08-08 v1

Abstract

We introduce and study monomial ideals with regular quotients, which can be seen as an extension of monomial ideals with linear quotients. Based on these investigations, we are able to calculate the Betti numbers of toric ideals belonging to various classes of edge rings.

Keywords

Cite

@article{arxiv.2308.02791,
  title  = {Monomial ideals with regular quotients and some edge rings},
  author = {Dancheng Lu and Hao Zhou},
  journal= {arXiv preprint arXiv:2308.02791},
  year   = {2023}
}

Comments

21 pages

R2 v1 2026-06-28T11:48:45.809Z