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A note on asymptotically unmixed ideals

Published online by Cambridge University Press:  24 October 2008

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

Extract

In the following (Q, m, k) will denote a quasi-unmixed local ring of Krull dimension d with maximal ideal m and residue field k. We recall that Q is quasi-unmixed if dim /p = d for every minimal prime ideal p of the completion of Q.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Barshay, J.. Generalized analytic independence. Proc. Amer. Math. Soc. 58 (1976), 3235.CrossRefGoogle Scholar
[2]Rees, D.. Rings associated with ideals and analytic spread. Math. Proc. Cambridge Philos. Soc. 89 (1981), 423432.CrossRefGoogle Scholar
[3]Valla, G.. Remarks on generalized analytic independence. Math. Proc. Cambridge Philos. Soc. 85 (1979), 281289.CrossRefGoogle Scholar