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Hilbert-Samuel polynomials for the contravariant extension functor
Published online by Cambridge University Press: 11 January 2016
Abstract
Let (R,m) be a local ring, and let M and N be finite R-modules. In this paper we give a formula for the degree of the polynomial giving the lengths of the modules ExtiR(M,N/mnN). A number of corollaries are given, and more general filtrations are also considered.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2010
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