The strong uniform Artin-Rees property in codimension one

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dc.creatorPlanas-Vilanova, Francesc
dc.date1999-02-18
dc.date.accessioned2026-07-07T05:27:57Z
dc.date.available2026-07-07T05:27:57Z
dc.descriptionThe purpose of this paper is to prove the following theorem of uniform Artin-Rees properties: Let $A$ be an excellent (in fact J-2) ring and let $N\subset M$ be two finitely generated $A$-modules such that ${\rm dim}(M/N)\leq 1$. Then there exists an integer $s\geq 1$ such that, for all integers $n\geq s$ and for all ideals $I$ of $A$, $I^{n}M\cap N=I^{n-s}(I^{s}M\cap N)$.
dc.description14 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/9902106
dc.identifierhttp://arxiv.org/abs/math/9902106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78120
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleThe strong uniform Artin-Rees property in codimension one
dc.typetext

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