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Semisimple rings of quotients

Published online by Cambridge University Press:  17 April 2009

Julius M. Zelmanowitz
Julius M. Zelmanowitz
Affiliation:
Department of Mathematics, University of California, Santa Barbara, Santa Barbara, California, USA.
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Abstract

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Necessary and sufficient conditions on an arbitrary Gabriel filter of left ideals of a ring R are determined in order that the ring of quotients of R with respect to the filter be semi-simple artinian. Special instances include generalizations of earlier work on classical rings of quotients and maximal rings of quotients.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 1 , August 1978 , pp. 97 - 115
Copyright
Copyright © Australian Mathematical Society 1979

References

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