Two remarks on monomial Gotzmann sets

DOI10.1016/j.jpaa.2011.10.007zbMath1251.13018OpenAlexW2132297399MaRDI QIDQ425288

Ata Firat Pir, Müfit Sezer

Publication date: 8 June 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.10.007

zbMATH Keywords

lexsegment idealsMacaulay-lex ringsmonomial Gotzmann sets and ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (1)

Gotzmann monomials in four variables

Cites Work

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• Gotzmann squarefree ideals
• Lexsegment and Gotzmann ideals associated with the diagonal action of \(\mathbb Z/p\)
• Lexifying ideals
• Gotzmann monomial ideals
• Gotzmann ideals of the polynomial ring
• Betti numbers of lex ideals over some Macaulay-lex rings
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Hilbert functions and lex ideals
• A combinatorial proof of Gotzmann's persistence theorem for monomial ideals

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