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A theorem on integral closures of ideals in semi-local rings

Published online by Cambridge University Press:  24 October 2008

A. Lindsay Burch
A. Lindsay Burch
Affiliation:
University of Dundee
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Extract

Consider an ideal A of a commutative ring R; denote by Ai the integral closure of A in R.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 1 , January 1979 , pp. 55 - 59
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

REFERENCES

(1)Northcott, D. G. and Rees, D.Reductions of ideals in local rings. Proc. Cambridge Philos. Soc. 50 (1954), 145–158.CrossRefGoogle Scholar
(2)Nagata, M.Local rings (Interscience, 1962.)Google Scholar