Hostname: page-component-7bb8b95d7b-nptnm Total loading time: 0 Render date: 2024-10-01T12:16:09.488Z Has data issue: false hasContentIssue false
  • English
  • Français

Codimension and analytic spread

Published online by Cambridge University Press:  24 October 2008

Lindsay Burch
Lindsay Burch
Affiliation:
Department of Mathematics, University of Dundee, Nethergate, Dundee, DD1 4HN
Get access Rights & Permissions [Opens in a new window]

Extract

In this paper, I shall establish the sufficiency of certain conditions on an ideal A of a local ring Q, and on a set {g1 …,gk} of elements of Q generating a proper ideal G, for the ideals A and G to be analytically disjoint. Hence I shall establish an upper bound for the analytic spread of A.

The maximal ideal of Q will be denoted throughout by M, and it will be assumed that the field Q/M is infinite.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 72 , Issue 3 , November 1972 , pp. 369 - 373
Copyright
Copyright © Cambridge Philosophical Society 1972

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)Northcott, D. G. and Rees, D.Reductions of Ideals in Local Rings. Proc. Cambridge Philos. Soc. 50 (1954), 145–158.Google Scholar
(2)Zariski, O. and Samuel, P.Commutative Algebra, vol. 2 (D. Van Nostrand, 1960).Google Scholar