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On the relation type of large powers of an ideal

Part of: Chain conditions, growth conditions, and other forms of finiteness

Published online by Cambridge University Press:  26 February 2010

Bernard Johnston  and
Daniel Katz
Bernard Johnston
Affiliation:
Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33431. U.S.A.
Daniel Katz
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, KS 60045. U.S.A.
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Abstract

We prove that the relation type of all high powers of an ideal in a Noetherian ring is either one or two. It is one exactly when some power of the ideal is locally principal.

MSC classification

Secondary: 16P40: Noetherian rings and modules
Type
Research Article
Information
Mathematika , Volume 41 , Issue 1 , June 1994 , pp. 209 - 214
Copyright
Copyright © University College London 1994

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