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Hilbert-Samuel polynomials for the contravariant extension functor

Published online by Cambridge University Press:  11 January 2016

Andrew Crabbe ,
Daniel Katz ,
Janet Striuli  and
Emanoil Theodorescu
Andrew Crabbe
Affiliation:
Department of Mathematics, Syracuse University, Syracuse, New York 13244-1150, USAamcrabbe@syr.edu
Daniel Katz
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045, USAdlk@math.ku.edu
Janet Striuli
Affiliation:
Department of Mathematics and Computer Science, Fairfield University, Fairfield, Connecticut 06824, USAjstriuli@mail.fairfield.edu
Emanoil Theodorescu
Affiliation:
Division of Statistics, Northern Illinois University, De Kalb, Illinois 60115, USAtheodore@math.niu.edu
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Abstract

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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.

Keywords

13D0713D4013H1513C11
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 198 , June 2010 , pp. 1 - 22
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2010

References

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