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Systems of parameters for non-finitely generated modules and big Cohen–Macaulay modules

Part of: Chain conditions, finiteness conditions

Published online by Cambridge University Press:  26 February 2010

Santiago Zarzuela
Santiago Zarzuela
Affiliation:
Departament d'Algebra i Geometria, Facultat de Matematiques, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain.
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Extract

Let (R, ) be a commutative Noetherian local ring. We investigate conditions for a non-finitely generated R-module M to have a system of parameters. We prove that if

then any system of parameters for R/AnR (M) is a system of parameters for M. As an application we characterize by means of systems of parameters those balanced big Cohen–Macaulay R-modules M for which SuppR (M) = suppR (M).

MSC classification

Secondary: 13E05: Noetherian rings and modules
Type
Research Article
Information
Mathematika , Volume 35 , Issue 2 , December 1988 , pp. 207 - 215
Copyright
Copyright © University College London 1988

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