Ratliff-Rush Closure of Ideals in Integral Domains

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dc.creatorMimouni, Abdeslam
dc.date2007-05-29
dc.date2008-02-11
dc.date.accessioned2026-07-07T09:19:29Z
dc.date.available2026-07-07T09:19:29Z
dc.descriptionThis paper studies the Ratliff-Rush closure of ideals in integral domains. By definition, the Ratliff-Rush closure of an ideal $I$ of a domain $R$ is the ideal given by $\tilde{I}:=\bigcup(I^{n+1}:_{R}I^{n})$ and an ideal $I$ is said to be a Ratliff-Rush ideal if $\tilde{I}=I$. We completely characterize integrally closed domains in which every ideal is a Ratliff-Rush ideal and we give a complete description of the Ratliff-Rush closure of an ideal in a valuation domain.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0705.4208
dc.identifierhttp://arxiv.org/abs/0705.4208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154406
dc.subjectCommutative Algebra
dc.subject13A15, 13A18
dc.titleRatliff-Rush Closure of Ideals in Integral Domains
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