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A generalized principal ideal theorem

Published online by Cambridge University Press:  22 January 2016

David Eisenbud and
E. Graham Evans Jr.
David Eisenbud
Affiliation:
Dept. of Math. Brandeis University, Waltham Ma. 02166, USA
E. Graham Evans Jr.
Affiliation:
Dept. of Math. University of Illinois, Urbana, Ill. 61801
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Krull’s principal ideal theorm [Krull] states that q elements in the maximal ideal of a local noetherian ring generate an ideal whose minimal components are all of height at most q. Writing R for the ring, we may consider the q elements, x1, · · ·, xq say, as coordinates of an element x ∈ Rq .

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 62 , September 1976, pp. 41 - 53
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

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