An inequality involving tight closure and parameter ideals

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dc.creatorCiuperca, Catalin
dc.creatorEnescu, Florian
dc.date2003-06-24
dc.date.accessioned2026-07-07T04:59:09Z
dc.date.available2026-07-07T04:59:09Z
dc.descriptionWe establish an inequality involving colengths of the tight closure of ideals of systems of parameters in local rings with some mild conditions. As an application, we prove and refine a result by Goto and Nakamura, conjectured by Watanabe and Yoshida, which states that the Hilbert-Samuel multiplicity of a parameter ideal is greater than or equal to the colength of the tight closure of the ideal.
dc.description8 pages, to appear in Bull. London Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0306349
dc.identifierhttp://arxiv.org/abs/math/0306349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67868
dc.subjectCommutative Algebra
dc.subject13D40; 13A35; 13H15
dc.titleAn inequality involving tight closure and parameter ideals
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