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Orders in semiprime rings with minimal condition for principal right ideals

Published online by Cambridge University Press:  14 November 2011

John Fountain  and
Victoria Gould
John Fountain
Affiliation:
Department of Mathematics, University of York, Heslington, York YO1 5DD, U.K.
Victoria Gould
Affiliation:
Department of Mathematics, University of York, Heslington, York YO1 5DD, U.K.
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Synopsis

An alternative proof of a theorem which characterises orders in semiprime rings with minimal condition is given. The approach used is to make use of the corresponding result for prime rings and is inspired by Herstein's proof of Goldie's theorem on orders in semisimple Artinian rings.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 3-4 , 1992 , pp. 375 - 380
Copyright
Copyright © Royal Society of Edinburgh 1992

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References

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