The monomial ideal of a finite meet-semilattice

2003/11/07 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +3
Mathematics · #06A12 #06D99 #13D02 #13H10 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:06A12 #msc:06D99 #msc:13D02 #msc:13H10

paper · pdf · doi:10.48550/arxiv.math/0311112

16 pages

arxiv created 2004/03/31 · arxiv updated 2009/12/01

Abstract

Squarefree monomial ideals arising from finite meet-semilattices and their free resolutions are studied. For the squarefree monomial ideals corresponding to poset ideals in a distributive lattice the Alexander dual is computed.

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• Alexander Duality for Monomial Ideals and Their Resolutions
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• Poset Resolutions of Monomial Ideals