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Gorenstein quotients by principal ideals offree Koszul homology
Published online by Cambridge University Press: 07 August 2001
Abstract
Let A be a noetherian local ring, x a non-unit element of A, B=A/(x). Let E be the Koszul complex associated to an arbitrary set of generators of the ideal (x) of A. Assume that H1(E) is a free B-module. Then A is Gorenstein if and only if B is also.
1991 Mathematics Subject Classification 13H10, 13D03.
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- Research Article
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- 2000 Glasgow Mathematical Journal Trust
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