Shedding vertices and Ass-decomposable monomial ideals
Commutative Algebra
2023-05-31 v4 Combinatorics
Abstract
The shedding vertices of simplicial complexes are studied from an algebraic point of view. Based on this perspective, we introduce the class of ass-decomposable monomial ideals which is a generalization of the class of Stanley-Reisner ideals of vertex decomposable simplicial complexes. The recursive structure of ass-decomposable monomial ideals allows us to find a simple formula for the depth, and in squarefree case, an upper bound for the regularity of such ideals.
Cite
@article{arxiv.2111.10851,
title = {Shedding vertices and Ass-decomposable monomial ideals},
author = {Raheleh Jafari and Ali Akbar Yazdan Pour},
journal= {arXiv preprint arXiv:2111.10851},
year = {2023}
}
Comments
13 pages