Integral degree of a ring and reduction numbers

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dc.creatorGiral, José M.
dc.creatorPlanas-Vilanova, Francesc
dc.date2007-06-22
dc.date.accessioned2026-07-07T08:11:56Z
dc.date.available2026-07-07T08:11:56Z
dc.descriptionThe supremum of reduction numbers of ideals having principal reductions is expressed in terms of the integral degree, a new invariant of the ring, which is finite provided the ring has finite integral closure. As a consequence, one obtains bounds for the Castelnuovo-Mumford regularity of the Rees algebra and for the Artin-Rees numbers.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0706.3381
dc.identifierhttp://arxiv.org/abs/0706.3381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132286
dc.subjectCommutative Algebra
dc.subject13A30; 13B22
dc.titleIntegral degree of a ring and reduction numbers
dc.typetext

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