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The principal ideal theorem in prime Noetherian rings

Published online by Cambridge University Press:  18 May 2009

A. W. Chatters  and
M. P. Gilchrist
A. W. Chatters
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW
M. P. Gilchrist
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT
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In the study of certain prime Noetherian rings it is natural to consider the set C of elements which are regular modulo all height-1 prime ideals of R. For R commutative, this set C is simply the set of units. In general this is not the case, though with certain additional conditions we can state non-commutative versions of the Principal Ideal Theorem.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 28 , Issue 1 , January 1986 , pp. 63 - 68
Copyright
Copyright © Glasgow Mathematical Journal Trust 1986

References

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