On Lawrence semigroups

DOI10.1016/j.jsc.2008.02.003zbMath1166.13028OpenAlexW2053391263MaRDI QIDQ2517808

Pilar Pisón-Casares, Alberto Vigneron-Tenorio

Publication date: 9 January 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.02.003

zbMATH Keywords

Gröbner basissimplicial complexGraver basissemigroup idealLawrence liftingLattice ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (2)

Simplicial complexes and minimal free resolution of monomial algebras ⋮ Indispensable binomials in semigroup ideals

Cites Work

• Semigroup ideals and linear Diophantine equations
• Variation of cost functions in integer programming
• Minimal systems of generators for ideals of semigroups
• Gröbner bases of lattices, corner polyhedra, and integer programming
• Generators and relations of abelian semigroups and semigroup rings
• Sysygies of unimodular Lawrence ideals
• FIRST SYZYGIES OF TORIC VARIETIES AND DIOPHANTINE EQUATIONS IN CONGRUENCE
• Higher order relations for a numerical semigroup

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