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Primary and coprimary decompositions
Published online by Cambridge University Press: 20 January 2009
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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
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