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Balanced big Cohen-Macaulay modules and free extensions of local rings

Published online by Cambridge University Press:  14 November 2011

Adrian M. Riley
Adrian M. Riley
Affiliation:
Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, England
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Synopsis

Let A and B be commutative Noetherian local rings, such that B is a finitely generated free A-module. It is shown that if M is a balanced big Cohen–Macaulay A-module (that is, every system of parameters for A is an M-sequence), then M⊗AB is a balanced big Cohen-Macaulay B-module.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 1-2 , 1982 , pp. 41 - 45
Copyright
Copyright © Royal Society of Edinburgh 1982

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