Journal article
Independent locally-finite intersections of localizations
Houston Journal of Mathematics, Vol.25(3), pp.433-452
1999
Abstract
Let D be an integral domain and let F be a set of prime ideals of D. We say that D is an F-IFC domain if D = ∩P∈FDP where the intersection has finite character and for P, Q ∈ F there is no nonzero prime ideal contained in P ∩ Q. Examples of F-IFC domains include h-local do-mains (F = Max(D)), Noetherian domains in which grade-one primes have height one, and independent rings of Krull type. Using star operations we give several characterizations of F-IFC domains.
Details
- Title: Subtitle
- Independent locally-finite intersections of localizations
- Creators
- D.D. AndersonM. Zafrullah
- Resource Type
- Journal article
- Publication Details
- Houston Journal of Mathematics, Vol.25(3), pp.433-452
- ISSN
- 0362-1588
- Language
- English
- Date published
- 1999
- Academic Unit
- Mathematics
- Record Identifier
- 9984230421602771
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