Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres. (On the Hilbert-Samuel function of the integral closure of powers of ideals generated by a system of parameters)

DOI10.1016/0021-8693(90)90240-OzbMath0701.13004OpenAlexW2069323516MaRDI QIDQ913865

Ngô Viêt Trung, Marcel Morales, Orlando E. Villamayor U.

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90240-o

zbMATH Keywords

filtrationsystem of parametersHilbert-Samuel functionslocal excellent Noetherian ring

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Regular local rings (13H05)

Related Items (5)

On \({\mathfrak m}\)-full powers of parameter ideals ⋮ Tight Hilbert polynomial and F-rational local rings ⋮ The positivity of the first coefficients of normal Hilbert polynomials ⋮ Integral closure of ideals and equisingularity ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Integral closedness of complete-intersection ideals
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• Valuations Associated with Ideals (II)
• Valuations Associated with a Local Ring (II)
• Polyèdre de Newton et genre géométrique d'une singularité intersection complète
• Note on coefficient fields of complete local rings

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