Filtrations, closure operations and prime divisors

DOI10.1017/S0305004100065221zbMath0701.13003MaRDI QIDQ3478506

Louis J. jun. Ratliff, J. S. Okon

Publication date: 1988

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

zbMATH Keywords

filtrationweak integral closureclosure operation on the set of all filtrations

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (10)

Star, semistar and standard operations: a case study ⋮ Projectively equivalent ideals and Rees valuations ⋮ About the prüferian closure of a filtration on a one dimensional noetherian ring ⋮ A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Residual division, semi-prime operations, and a theorem of Sakuma and Okuyama ⋮ Asymptotic behaviour of attached primes ⋮ On the grade and cograde of a Noetherian filtration ⋮ Analytic spread of nitrations, asymptotic nature and some stability properties

Cites Work

• Unnamed Item
• On the asymptotic cograde of an ideal
• Asymptotic prime divisors and integral extension rings
• On the relevant transform and the relevant component of an ideal
• On asymptotic prime divisors
• Prime divisors, analytic spread and filtrations
• A characterization of analytically unramified semi-local rings and applications
• Some Results on the Asymptotic Completion of an Ideal

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