Reduction numbers and initial ideals

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dc.creatorConca, Aldo
dc.date2002-10-04
dc.date.accessioned2026-07-07T04:51:38Z
dc.date.available2026-07-07T04:51:38Z
dc.descriptionThe reduction number r(A) of a standard graded algebra A is the least integer k such that there exists a minimal reduction J of the homogeneous maximal ideal m of A such that Jm^k=m^{k+1}. Vasconcelos conjectured that the reduction number of A=R/I can only increase by passing to the initial ideal, i.e r(R/I)\leq r(R/in(I)). The goal of this note is to prove the conjecture.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0210064
dc.identifierhttp://arxiv.org/abs/math/0210064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65176
dc.subjectCommutative Algebra
dc.subject13P10, 13A30, 13F20
dc.titleReduction numbers and initial ideals
dc.typetext

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