Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-27T09:50:53.177Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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