Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588282 | Journal of Algebra | 2008 | 18 Pages |
Abstract
Let R be a local ring, I⊆R an ideal, and M and N finite R-modules. In this paper we provide a number of results concerning the degree of the polynomial giving the lengths of the modules , when such a polynomial exists. Included among these results are a characterization of when this degree equals the Krull dimension of R, a characterization of when the degree of the polynomial associated to the first non-vanishing Ext under consideration equals the grade of I on M, and calculation of the degree of Hilbert polynomials associated to certain iterated expressions involving the extension functor.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory