Strongly AP filtrations, integral dependence and Prüferian equivalence in Dedekind domains

DOI10.1016/0022-4049(93)90139-KzbMath0774.13003MaRDI QIDQ1209074

Henri Dichi

Publication date: 16 May 1993

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

zbMATH Keywords

Dedekind domainNagata domainfiltration of idealsintegral dependenceapproximation by powers of idealsSamuel numberstrongly \(AP\)- filtrations

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

About the prüferian closure of a filtration on a one dimensional noetherian ring

Cites Work

• Unnamed Item
• Unnamed Item
• Integral dependence over a filtration
• Asymptotic prime divisors
• Generalized Samuel numbers and A.P filtrations
• Reductions of filtrations
• Notes on essentially powers filtrations
• Filtrations, Asymptotic and Pruferian Closures, Cancellation Laws
• Filtrations, integral dependence, reduction, f-Good filtrations
• A theory of multiplicity for multiplictive filtrations.