One dimensional cohen-macaulay rings with maximal hilbert function

DOI10.1080/00927878908823825zbMath0686.13009OpenAlexW2149117922MaRDI QIDQ4204239

William C. Brown

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823825

zbMATH Keywords

conductorCohen-Macaulay typegraded ringmaximal Hilbert functionone-dimensional ringlocalization of the coordinate ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Cites Work

• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• On the Hilbert-Samuel function
• Superficial saturation
• Connections between a local ring and its associated graded ring
• One-dimensional local rings with reduced associated graded ring and their Hilbert functions
• On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
• Generators and relations of abelian semigroups and semigroup rings
• 1-dimensional Cohen-Macaulay rings
• Points in Generic Position and Conductors of Curves with Ordinary Singularities
• A Note on the Cohen-Macaulay Type of Lines in Uniform Position in A n+1

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