Notes on the behavior of the Ratliff-Rush filtration

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dc.creatorRossi, Maria Evelina
dc.creatorSwanson, Irena
dc.date2002-09-23
dc.date.accessioned2026-07-07T04:51:10Z
dc.date.available2026-07-07T04:51:10Z
dc.descriptionWe establish new classes of Ratliff-Rush closed ideals and some pathological behavior of the Ratliff-Rush closure. In particular, Ratliff-Rush closure does not behave well under passage modulo superficial elements, taking powers of ideals, associated primes, leading term ideals, and the minimal number of generators. In contrast, the reduction number of the Ratliff-Rush filtration behaves better: it preserves some information on the reduction number of the ideal.
dc.identifierhttps://arxiv.org/abs/math/0209308
dc.identifierhttp://arxiv.org/abs/math/0209308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65048
dc.subjectCommutative Algebra
dc.subject13A30, 13B22, 13P10
dc.titleNotes on the behavior of the Ratliff-Rush filtration
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