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Nagoya Mathematical Journal (1)

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Shellability of semigroup rings
Annetta Aramova, Jürgen Herzog, Takayuki Hibi
Journal:

Nagoya Mathematical Journal / Volume 168 / 2002

Published online by Cambridge University Press:

22 January 2016, pp. 65-84

Print publication:

2002
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The concepts of Λ-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 Λ-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.