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Reduction of modules

Published online by Cambridge University Press:  24 October 2008

D. Rees
D. Rees
Affiliation:
6 Hillcrest Park, Exeter EX4 4SH
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Extract

The notion of a reduction of an ideal I of a noetherian ring R and the related notions of the integral closure I* of I in R and the integral dependence of an element x of R on I have proved useful in many situations in commutative algebra. The purpose of this paper is to extend these notions to modules. To motivate the definitions which follow, it will be useful to consider these notions for ideals before extending them to modules.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 3 , May 1987 , pp. 431 - 449
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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