Hilbert functions, Hilbert-Samuel quasi-polynomials with respect to \(f\)-good filtrations, multiplicities

DOI10.1016/S0022-4049(98)00080-2zbMath0934.13010MaRDI QIDQ1295772

Daouda Sangare, Henri Dichi

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionquasi-polynomial function\(f\)-good filtrationsgraded noetherian ring

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Graded rings (13A02)

Related Items (4)

A partial characterization of Hilbert quasi-polynomials in the non-standard case ⋮ On the asymptotic behaviour of Hilbert functions of graded rings and modules: applications to the Hilbert-Samuel functions of well filtered modules, multiplicity and analytic spread of nice filtrations ⋮ Differential symmetric signature in high dimension ⋮ Hilbert series of modules over Lie algebroids

Cites Work

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• Notes on essentially powers filtrations
• Note on i-good filtrations and noetherian rees rings
• Filtrations, integral dependence, reduction, f-Good filtrations
• IDENTIFICATION OF THE HILBERT FUNCTION AND POINCARÉ SERIES, AND THE DIMENSION OF MODULES OVER FILTERED RINGS

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