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On powers of ideals generated by R-sequences in a Noetherian local ring

Published online by Cambridge University Press:  24 October 2008

A. Caruth
A. Caruth
Affiliation:
Portsmouth Polytechnic
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Extract

In a Noetherian commutative ring with identity, every ideal can be expressed (not necessarily uniquely) as a finite intersection of primary ideals (called a primary decomposition). This note is concerned with powers of ideals generated by subsets of an R-sequence in a local ring R (i.e. a Noetherian commutative ring R with identity possessing a unique maximal ideal m) and with a decomposition of such ideals.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 3 , November 1973 , pp. 441 - 444
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

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