On the lengths of Koszul homology modules and generalized fractions
Published online by Cambridge University Press: 24 October 2008
Extract
Throughout this paper, let A be a Noetherian local ring with maximal ideal m and M a finitely generated A-module with d = dimAM ≥ 1. Denote by N the set of all positive integers.
Let x = (x1, …, xd) be a system of parameters (s.o.p) for M and let
We consider the following two problems: (i) When is the length of Koszul homology
a polynomial in n for all k = 0, …, d and n1; …, nd sufficiently large (n ≫ 0)?
(ii) Is the length of the generalized fraction in
a polynomial in n for n ≫ 0?
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 1 , July 1996 , pp. 31 - 42
- Copyright
- Copyright © Cambridge Philosophical Society 1996
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