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 the squarefree case, an upper bound for the regularity of such ideals.
Citation
Raheleh Jafari. Ali Akbar Yazdan Pour. "SHEDDING VERTICES AND ASS-DECOMPOSABLE MONOMIAL IDEALS." Rocky Mountain J. Math. 53 (1) 89 - 101, February 2023. https://doi.org/10.1216/rmj.2023.53.89
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