English

Level and pseudo-Gorenstein binomial edge ideals

Commutative Algebra 2023-08-11 v3

Abstract

We prove that level binomial edge ideals with regularity 2 and pseudo-Gorenstein binomial edge ideals with regularity 3 are cones, and we describe them completely. Also, we characterize level and pseudo-Gorenstein binomial edge ideals of bipartite graphs.

Keywords

Cite

@article{arxiv.2208.05340,
  title  = {Level and pseudo-Gorenstein binomial edge ideals},
  author = {Giancarlo Rinaldo and Rajib Sarkar},
  journal= {arXiv preprint arXiv:2208.05340},
  year   = {2023}
}

Comments

17 pages, 2 figures. Some typos are fixed

R2 v1 2026-06-25T01:37:27.827Z