When does the F-signature exist?

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dc.creatorAberbach, Ian M.
dc.creatorEnescu, Florian
dc.date2005-02-16
dc.date.accessioned2026-07-07T05:17:04Z
dc.date.available2026-07-07T05:17:04Z
dc.descriptionWe show that the F-signature of an F-finite local ring R of characteristic p >0 exists when R is either the localization of an $\mathbf{N}$-graded ring at its irrelevant ideal or $\mathbf{Q}$-Gorenstein on its punctured spectrum. This extends results by Huneke, Leuschke, Yao and Singh and proves the existence of the F-signature in the cases where weak F-regularity is known to be equivalent to strong F-regularity.
dc.description6 pages, to appear in Ann. Fac. Sci. Toulouse Math. (6)
dc.identifierhttps://arxiv.org/abs/math/0502351
dc.identifierhttp://arxiv.org/abs/math/0502351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74220
dc.subjectCommutative Algebra
dc.subject13A35
dc.titleWhen does the F-signature exist?
dc.typetext

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