Squarefree monomial ideals with maximal depth

2019/07/27 by Ahad Rahimi, Rahimi, Ahad
Mathematics · #05E40 #13C15 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:05E40 #msc:13C15

paper · pdf · doi:10.48550/arxiv.1907.11960

11 pages

arxiv created 2019/07/27 · arxiv updated 2019/07/30

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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