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A generalization of a theorem of Sharp on big Cohen-Macaulay modules

Published online by Cambridge University Press:  24 October 2008

Santiago Zarzuela
Santiago Zarzuela
Affiliation:
Mathematisches Institut, Universität Köln, Weyertal 86–90, D-5000 Köln 41, Germany
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Extract

Let (A, m) be a (commutative, Noetherian) local ring, and a1, …, an a system of parameters for A. Let M be an A-module. We say that M is a big Cohen-Macaulay module with respect to a1, …, an if a1, …, an, is an M-sequence. In this case we call M balanced if any system of parameters for A is an M-sequence.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 193 - 195
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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