Cohen-Macaulay Polymatroidal Ideals

2004/09/07 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +1 · 1 citation
Mathematics · #05B35 #13C14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:05B35 #msc:13C14

paper · pdf · doi:10.48550/arxiv.math/0409097

arxiv created 2004/09/07 · arxiv updated 2009/12/01

Abstract

All Cohen--Macaulay polymatroidal ideals are classified. The Cohen--Macaulay polymatroidal ideals are precisely the principal ideals, the Veronese ideals, and the squarefree Veronese ideals.

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