Betti numbers of binomial ideals

DOI10.1016/j.jsc.2016.06.001zbMath1431.13015OpenAlexW2461283259MaRDI QIDQ346552

Marcel Morales, Hernán de Alba

Publication date: 29 November 2016

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

Full work available at URL: https://tel.archives-ouvertes.fr/tel-00772901/file/these_DE_-_ALBA_-_CASILLAS_HERNAN_-_2012_archivage1.pdf

zbMATH Keywords

binomial idealBetti numbersclique complexlattice idealsquare-free quadratic monomial ideal

Mathematics Subject Classification ID

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

Uses Software

• Macaulay2

Cites Work

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• Linear free resolutions and minimal multiplicity
• Gröbner bases and Betti numbers of monoidal complexes
• On certain algebras of reduction number one
• Semigroup rings and simplicial complexes
• Koszul cycles and Eliahou-Kervaire type resolutions
• Binomial ideals
• On unions of scrolls along linear spaces
• Restricting linear syzygies: algebra and geometry
• Higher order relations for a numerical semigroup
• On the equations defining minimal varieties
• First Nonlinear Syzygies of Ideals Associated to Graphs

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