Generalized Samuel numbers and A.P filtrations

DOI10.1016/0022-4049(90)90095-YzbMath0704.13016MaRDI QIDQ916735

Daouda Sangare, Philippe Kodjo Ayegnon

Publication date: 1990

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

zbMATH Keywords

AP filtrationsapproximable by powersgeneralized Samuel numbersintegral dependence on a filtration

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Topological rings and modules (13J99)

Related Items (6)

Asymptotic properties of filtrations on a module ⋮ Extensions aux filtrations des nombres de samuel associés aux idéaux ⋮ 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 ⋮ Strongly AP filtrations, integral dependence and Prüferian equivalence in Dedekind domains ⋮ PROJECTIVELY EQUIVALENT NOETHERIAN FILTRATIONS AND REES VALUATIONS ⋮ Filtrations on a ring and asymptotic deviations

Cites Work

• Integral dependence over a filtration
• Asymptotic prime divisors and going down
• Concerning filtrations on commutative rings
• Notes on essentially powers filtrations
• Ein Struktursatz für eine Klasse von Pseudobewertungen
• Some asymptotic properties of powers of ideals
• Valuations Associated with a Local Ring (I)
• A theory of multiplicity for multiplictive filtrations.
• Some Results on the Asymptotic Completion of an Ideal

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