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Systems of parameters for non-finitely generated modules and big Cohen–Macaulay modules
Published online by Cambridge University Press: 26 February 2010
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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).
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- Copyright © University College London 1988
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