Gröbner bases and Betti numbers of monoidal complexes

DOI10.1307/mmj/1220879398zbMath1180.13026arXiv0707.4527OpenAlexW2949288409MaRDI QIDQ841521

Robert Koch, Tim Römer, Winfried Bruns

Publication date: 17 September 2009

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

Full work available at URL: https://arxiv.org/abs/0707.4527

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Betti numbers of binomial ideals, On the Koszul property of toric face rings, A colorful hochster formula and universal parameters for face rings, Seminormality and local cohomology of toric face rings, Algebra retracts and Stanley-Reisner rings, Dualizing complexes of seminormal affine semigroup rings and toric face rings, Higher Cohen-Macaulay property of squarefree modules and simplicial posets, Dualizing Complex of a Toric Face Ring

Cites Work

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• Cohomology of partially ordered sets and local cohomology of section rings
• On toric face rings
• Gröbner bases of toric varieties
• Subdivisions of toric complexes
• On algebras associated to partially ordered sets
• Combinatorics and commutative algebra