Integral dependence over a filtration

DOI10.1016/0022-4049(89)90049-2zbMath0691.13025OpenAlexW2016066247MaRDI QIDQ582339

Henri Dichi

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90049-2

zbMATH Keywords

multiplicityasymptotic closureNagata ringsPrüfer closure of a filtration

Mathematics Subject Classification ID

Topological rings and modules (13J99) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Extensions aux filtrations des nombres de samuel associés aux idéaux ⋮ Filtrations, integral dependence, reduction, f-Good filtrations ⋮ Bounds related to projective equivalence classes of good filtrations ⋮ About the prüferian closure of a filtration on a one dimensional noetherian ring ⋮ Integral closure of a filtration relative to a module ⋮ A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case ⋮ Generalized Samuel numbers and A.P filtrations ⋮ Strongly AP filtrations, integral dependence and Prüferian equivalence in Dedekind domains ⋮ Analytic spread of nitrations, asymptotic nature and some stability properties

Cites Work

• Asymptotic prime divisors
• Notes on essentially powers filtrations
• The converse to a well known theorem on Noetherian rings
• Anneaux de Rees intégralement clos.
• A theory of multiplicity for multiplictive filtrations.
• Unnamed Item
• Unnamed Item
• Unnamed Item