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A commutativity theorem for semiprime rings

Published online by Cambridge University Press:  17 April 2009

Hazar Abu-Khuzam
Hazar Abu-Khuzam
Affiliation:
Department of Mathematics, University of Petroleum and Minerals, UPM Box 376, Dhahran, Saudi Arabia.
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Abstract

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Let R be a semiprime ring in which for each x in R there exists a positive integer n = n(x) < 1 such that (xy)n = xnyn for all y in R. Then R is commutative.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 221 - 224
Copyright
Copyright © Australian Mathematical Society 1983

References

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