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Artinian modules over commutative rings

Published online by Cambridge University Press:  24 October 2008

R. Y. Sharp
R. Y. Sharp
Affiliation:
Department of Pure Mathematics, The University, Sheffield S3 7RH
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Extract

In 5, I provided a method whereby the study of an Artinian module A over a commutative ring R (throughout the paper, R will denote a commutative ring with identity) can, for some purposes at least, be reduced to the study of an Artinian module A' over a complete (Noetherian) local ring; in the latter situation, Matlis' duality 1 (alternatively, see 6, ch. 5) is available, and this means that the investigation can often be converted into a dual one about a finitely generated module over a complete (Noetherian) local ring.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 25 - 33
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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