FINITENESS OF HILBERT FUNCTIONS FOR GENERALIZED COHEN–MACAULAY MODULES

DOI10.1081/AGB-100001545zbMath1028.13009MaRDI QIDQ2749062

Vijaylaxmi Trivedi

Publication date: 21 October 2001

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

zbMATH Keywords

Castelnuovo-Mumford regularityNoetherian local ringshigher Hilbert coefficients

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (5)

Castelnuovo-Mumford regularity and extended degree ⋮ Dependence of Hilbert coefficients ⋮ Uniform bounds in generalized Cohen-Macaulay rings ⋮ Bounds for Hilbert coefficients ⋮ Upper Bound for the Castelnuovo-Mumford Regularity of Associated Graded Modules

Cites Work

• Linear free resolutions and minimal multiplicity
• The invariance of Hilbert functions of quotients under small perturbations
• A finiteness theorem for the Hilbert functions of complete intersection local rings
• Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers

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