Shellability of semigroup rings

Author:

Aramova Annetta,Herzog Jürgen,Hibi Takayuki

Abstract

AbstractThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Third Squarefree Veronese Subring;Mediterranean Journal of Mathematics;2022-10-20

2. Non-Koszul quadratic Gorenstein toric rings;MATHEMATICA SCANDINAVICA;2018-09-05

3. Antichain Cutsets of Strongly Connected Posets;Order;2012-04-20

4. Graded Free Resolutions;Graded Syzygies;2011

5. Koszul Algebras and Modules;Advances in Algebra and Geometry;2003

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