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On the commutativity of semi-prime rings

Published online by Cambridge University Press:  09 April 2009

Abdullah H. Al-Moajil
Abdullah H. Al-Moajil
Affiliation:
Gulf Organization for Industrial Consulting, P.O. Box 5114, Doha, Quatar
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Abstract

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It is shown that if R is a 2-torsion-free semi-prime ring such that [xy, [xy, yx]] = 0 for all x, y ∈ R, then R is commutative.

Keywords

nilpotentnilpotent idealsemi-prime
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 1 , January 1982 , pp. 48 - 51
Copyright
Copyright © Australian Mathematical Society 1982

References

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