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Balanced big Cohen-Macaulay modules and flat extensions of rings

Published online by Cambridge University Press:  24 October 2008

Santiago Zarzuela
Santiago Zarzuela
Affiliation:
Departament d'Àlgebra i Fonaments, Universitat de Barcelona, Barcelona 08007, Spain
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Let A be a (commutative, Noetherian) local ring. The big Cohen-Macaulay conjecture asserts that if a1,…,an is a system of parameters for A there exists an A-module M such that a1,…,an is an M-sequence. Then we say that M is a big Cohen-Macaulay module with respect to a1,…,an. This conjecture implies some important conjectures in commutative algebra and has been established affirmatively by M. Hochster for any ring containing a field as a subring (see [9] for further information).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 2 , September 1987 , pp. 203 - 209
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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