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A theorem on commutativity of semi-prime rings

Published online by Cambridge University Press:  17 April 2009

Murtaza A. Quadri  and
Mohd. Ashraf
Murtaza A. Quadri
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh 202 001, (India).
Mohd. Ashraf
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh 202 001, (India).
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Abstract

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The following Theorem is proved: Let R be a semi-prime ring in which either (xy)n − xnyn or (xy)n − ynxn is central, for all x,y in R where n > 1 is a fixed integer. Then R is commutative.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 3 , December 1986 , pp. 411 - 413
Copyright
Copyright © Australian Mathematical Society 1986

References

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