Base-sortable matroids and Koszulness of semigroup rings

DOI10.1006/eujc.2001.0516zbMath0986.05027OpenAlexW1972777548MaRDI QIDQ5949031

Stefan Blum

Publication date: 18 February 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/76fb25ba805dff2290df5a177158bdce31224e4b

zbMATH Keywords

semigroup ringsgraphic matroidsKoszulnessKoszul algebrasbase-sortable matroidscombinatorial pure subringsmatroid operations

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (6)

On the toric ideals of matroids of a fixed rank ⋮ Matroid Toric Ideals: Complete Intersection, Minors, and Minimal Systems of Generators ⋮ A Gröbner basis characterization for chordal comparability graphs ⋮ Connectivity gaps among matroids with the same enumerative invariants ⋮ Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems ⋮ Gröbner bases of toric ideals associated with matroids

Uses Software

• Macaulay2

Cites Work

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• A unique exchange property for bases
• The basis monomial ring of a matroid
• Combinatorial pure subrings.
• Compressed polytopes, initial ideals and complete multipartite graphs
• Toric rings generated by special stable sets of monomials

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