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Subrings of the Maximal Ring of Quotients Associated With Closure Operations

Published online by Cambridge University Press:  20 November 2018

D. C. Murdoch
D. C. Murdoch*
Affiliation:
The University of British Columbia, Vancouver, British Columbia
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This paper contains a number of results that grew out of an attempt to solve the following problem : Given a non-commutative ring R with suitable ascending chain condition, and a prime ideal P in R, to construct a corresponding local ring RP in which the extension P′ of P is a unique maximal prime, and to prove, if possible, that the intersection of the powers of P′ is zero. The present investigation is at best a preliminary attack on this problem since the contribution to the complete solution is comparatively small and the central problem of the intersection of the powers of P′ has not been touched.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 723 - 743
Copyright
Copyright © Canadian Mathematical Society 1963

References

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