Shellability of semigroup rings

DOI10.1017/S0027763000008357zbMath1041.16018OpenAlexW1623350645MaRDI QIDQ4431459

Takayuki Hibi, Jürgen Herzog, Annetta G. Aramova

Publication date: 22 October 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1114631780

zbMATH Keywords

semigroup ringsKoszul algebrasshellabilitysquarefree Veronese subrings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Rings with straightening laws, Hodge algebras (13F50)

Related Items

Antichain cutsets of strongly connected posets, On the third squarefree Veronese subring, Unimodular triangulations and coverings of configurations arising from root systems

Cites Work

• The Koszul property in affine semigroup rings
• Toric ideals generalized by quadratic binomials
• How to shell a monoid
• Combinatorial pure subrings.
• Compressed polytopes, initial ideals and complete multipartite graphs
• On Lexicographically Shellable Posets
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Strongly Koszul algebras
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