Squarefree monomial ideals with maximal depth

Ahad Rahimi

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arXiv · 1907.11960

Squarefree monomial ideals with maximal depth

Ahad Rahimi

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Abstract

Let $(R,\mm)$ be a Noetherian local ring and $M$ a finitely generated $R$-module. We say $M$ has maximal depth if there is an associated prime $\pp$ of $M$ such that $\depth M=\dim R/\pp$. In this paper we study squarefree monomial ideals which have maximal depth. Edge ideals of cycle graphs, transversal polymatroidal ideals and high powers of connected bipartite graph with this property are classified.

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Ahad Rahimi. 2019-07-27. Squarefree monomial ideals with maximal depth. https://arxiv.org/abs/1907.11960

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