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2002 Shellability of semigroup rings
Annetta Aramova, Jürgen Herzog, Takayuki Hibi
Nagoya Math. J. 168: 65-84 (2002).

Abstract

The concepts of $\Lambda$-shellability of locally finite posets as well as of extendable sequentially Koszul algebras will be introduced. It will be proved that the divisor poset of a homogeneous semigroup ring is $\Lambda$-shellable if and only if the semigroup ring is extendable sequentially Koszul. Examples of extendable sequentially Koszul semigroup rings contain all monomial ASL's (algebras with straightening laws) and all second squarefree Veronese subrings.

Citation

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Annetta Aramova. Jürgen Herzog. Takayuki Hibi. "Shellability of semigroup rings." Nagoya Math. J. 168 65 - 84, 2002.

Information

Published: 2002
First available in Project Euclid: 27 April 2005

zbMATH: 1041.16018
MathSciNet: MR1942394

Subjects:
Primary: 13H10
Secondary: 13F50, 13F55

Rights: Copyright © 2002 Editorial Board, Nagoya Mathematical Journal

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Vol.168 • 2002
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