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Properties of Quotient Rings

Published online by Cambridge University Press:  20 November 2018

S. Page
S. Page*
Affiliation:
University of British Columbia, Vancouver, British Columbia
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In [1; 2 ; 7] Gabriel, Goldman, and Silver have introduced the notion of a localization of a ring which generalizes the usual notion of a localization of a commutative ring at a prime. These rings may not be local in the sense of having a unique maximal ideal. If we are to obtain information about a ring R from one of its localizations, Qτ (R) say, it seems reasonable that Qτ(R) be a tractable ring. This, of course, is what Goldie, Jans, and Vinsonhaler [4; 3; 8] did in the special case for Q(R) the classical ring of quotients.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 6 , December 1972 , pp. 1122 - 1128
Copyright
Copyright © Canadian Mathematical Society 1972

References

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