Tight closure and continuous closure

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dc.contributor.authorBrenner, Holger
dc.contributor.authorSteinbuch, Jonathan
dc.date.accessioned2021-12-23T16:02:53Z-
dc.date.available2021-12-23T16:02:53Z-
dc.date.issued2021
dc.identifier.issn00218693
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/5681-
dc.description.abstractWe show that for excellent, normal equicharacteristic rings with perfect residue fields the tight closure of an ideal is contained in its axes closure. First we prove this for rings in characteristic p. This is achieved by using the notion of special tight closure established by Huneke and Vraciu. By reduction to positive characteristic we show that the containment of tight closure in axes closure also holds in characteristic 0. From this we deduce that for a normal ring of finite type over C the tight closure of a primary ideal is inside its continuous closure. (C) 2019 Elsevier Inc. All rights reserved.
dc.language.isoen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofJOURNAL OF ALGEBRA
dc.subjectMathematics
dc.subjectTight closure
dc.titleTight closure and continuous closure
dc.typejournal article
dc.identifier.doi10.1016/j.jalgebra.2019.07.004
dc.identifier.isiISI:000608828000015
dc.description.volume571
dc.description.startpage32
dc.description.endpage39
dc.identifier.eissn1090266X
dc.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dcterms.isPartOf.abbreviationJ. Algebra
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrHo921-
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