Localization of tight closure in two-dimensional rings

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dc.creatorDivaani-Aazar, Kamran
dc.creatorTousi, Massoud
dc.date2005-02-03
dc.date.accessioned2026-07-07T05:16:40Z
dc.date.available2026-07-07T05:16:40Z
dc.descriptionIt is shown that tight closure commutes with localization in any two dimensional ring $R$ of prime characteristic if either $R$ is a Nagata ring or $R$ possesses a weak test element. Moreover, it is proved that tight closure commutes with localization at height one prime ideals in any ring of prime characteristic.
dc.description7 pages, to appear in Proc. Indian Acad. Sci. (Math. Sci.)
dc.identifierhttps://arxiv.org/abs/math/0502076
dc.identifierhttp://arxiv.org/abs/math/0502076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74073
dc.subjectCommutative Algebra
dc.subject13A35, 13C99
dc.titleLocalization of tight closure in two-dimensional rings
dc.typetext

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