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A commutativity condition for semi prime rings-II

Published online by Cambridge University Press:  17 April 2009

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

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It is shown that if R is a semi prime ring in which (xy)2 -xy is central for every x, y ε R, then R is commutative.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 1 , February 1986 , pp. 71 - 73
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Herstein, I.N., Topics in ring theory (University of Chicago Press, Chicago; London, 1969).Google Scholar
[2]Herstein, I.N.. Rings with involution (University of Chicago Press, Chicago; London, 1976).Google Scholar
[3]Quadri, Murtaza A., “A note on commutativity of semi prime rings”, Math. Japonica 22 (1978), 509–511.Google Scholar