On the nonnegativity of normal Hilbert coefficients of two ideals

DOI10.1216/JCA-2013-5-2-281zbMath1273.13024MaRDI QIDQ357882

Shreedevi K. Masuti, Jugal Kishore Verma

Publication date: 14 August 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1376328033

zbMATH Keywords

mixed multiplicities\(\mathfrak m\)-primary idealsanalytically unramified local ringsintegral closure of an idealnormal Hilbert polynomial

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

Hilbert polynomials of multigraded filtrations of ideals

Cites Work

• The Chern coefficients of local rings
• Coefficients of normal Hilbert polynomials
• Reduction numbers and multiplicities of multigraded structures
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• The positivity of the first coefficients of normal Hilbert polynomials
• A Note on Analytically Unramified Local Rings
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