Extension of weakly and strongly F-regular rings by flat maps

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dc.creatorAberbach, Ian M.
dc.date2002-09-19
dc.date.accessioned2026-07-07T04:51:03Z
dc.date.available2026-07-07T04:51:03Z
dc.descriptionLet (R,m) -> (S,n) be a flat local homomorphism of excellent local rings. We investigate the conditions under which the weak or strong F-regularity of R passes to S. We show that is suffices that the closed fiber S/mS be Gorenstein and either F-finite (if R and S have a common test element), or F-rational (otherwise).
dc.identifierhttps://arxiv.org/abs/math/0209251
dc.identifierhttp://arxiv.org/abs/math/0209251
dc.identifierJ. Algebra 241 (2001), no. 2, 799--807
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65007
dc.subjectCommutative Algebra
dc.subject13A35
dc.titleExtension of weakly and strongly F-regular rings by flat maps
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