Finite lattices and lexicographic Gröbner bases

DOI10.1006/eujc.1999.0358zbMath0969.13010OpenAlexW2027713456MaRDI QIDQ1568780

Takayuki Hibi, Jürgen Herzog, Annetta G. Aramova

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/eujc.1999.0358

zbMATH Keywords

distributive latticesHibi ringsquadratic Gröbner baseschain ladders

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Indispensable Hibi Relations and Gröbner Bases, Ideals with linear quotients in Segre products, The first syzygy of Hibi rings associated with planar distributive lattices, Rank Bounded Hibi Subrings for Planar Distributive Lattices, The join-meet ideal of a finite lattice, Regularity of join-meet ideals of distributive lattices, Toric rings arising from vertex cover ideals, Finite distributive lattices, polyominoes and ideals of König type, Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals, Centrally symmetric configurations of order polytopes, Quadratic initial ideals of root systems, Connected Graphs Arising from Products of Veronese Varieties, Syzygies of Hibi rings, Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof, Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings, ISOTONIAN ALGEBRAS, Finite lattices and Gröbner bases

Cites Work

• Koszul bipartite graphs
• Toric ideals generalized by quadratic binomials
• Ladder determinantal rings have rational singularities
• How to shell a monoid
• A toric ring with irrational Poincaré-Betti series
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