Filtrations, Asymptotic and Pruferian Closures, Cancellation Laws

DOI10.2307/2048593zbMath0741.13001OpenAlexW4234242996MaRDI QIDQ3982117

Henri Dichi, Daouda Sangare

Publication date: 26 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048593

zbMATH Keywords

cancellationfiltrationsclosure operationsasymptotic closureintegral closureprüferian closurefiltration approximable by powers

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (5)

Bounds related to projective equivalence classes of good filtrations ⋮ 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 ⋮ BIFILTRATIONS ON A RING AND ASYMPTOTIC σ-PRIME DIVISOR ⋮ Strongly AP filtrations, integral dependence and Prüferian equivalence in Dedekind domains ⋮ PROJECTIVELY EQUIVALENT NOETHERIAN FILTRATIONS AND REES VALUATIONS

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