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Primary and coprimary decompositions

Published online by Cambridge University Press:  20 January 2009

D. J. Moore
D. J. Moore
Affiliation:
University of Glasgow, Scotland
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Let R be an associative, commutative ring with identity, and let A be a (unitary) R-module. It is well known that if A is a Noetherian R-module then every submodule of A has a primary decomposition in A. The object of the present paper is to dualise this result; that is, to show that if A is an Artinian R-module then every submodule of A can be expressed as the sum of a finite number of coprimary submodules of A.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 4 , December 1973 , pp. 251 - 264
Copyright
Copyright © Edinburgh Mathematical Society 1973

References

REFERENCES

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