The Macaulay–Lex Ideals ink[x,y,z]

DOI10.1080/00927872.2011.625747zbMath1273.13023OpenAlexW2012252791MaRDI QIDQ2842279

Yu He

Publication date: 13 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.625747

zbMATH Keywords

Hilbert functionlex segment idealMacaulay lex ideal

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)

Macaulay–Lex ideals, Some Generalized Clements–Lindström Ideals

Cites Work

• Lexifying ideals
• Betti numbers of lex ideals over some Macaulay-lex rings
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
• A generalization of a combinatorial theorem of macaulay

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