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A Commutativity theorem for semiprime rings

Published online by Cambridge University Press:  09 April 2009

Vishnu Gupta
Vishnu Gupta
Affiliation:
P.O. Box 13261, Department of Mathematics Alfateh University, Tripoli Libya
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Abstract

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It is shown that if R is a semiprime ring with 1 satisfying the property that, for each x, y ∈ R, there exists a positive integer n depending on x and y such that (xy)k − xkyk is central for k = n,n+1, n+2, then R is commutative, thus generalizing a result of Kaya.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 1 , September 1980 , pp. 33 - 36
Copyright
Copyright © Australian Mathematical Society 1980

References

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