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A commutativity theorem for rings

Published online by Cambridge University Press:  17 April 2009

Steve Ligh  and
Anthony Richoux
Steve Ligh
Affiliation:
Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana, USA.
Anthony Richoux
Affiliation:
Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana, USA.
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Abstract

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Let R be a ring with an identity and for each x, y in R, (xy)k = xkyk for three consecutive positive integers k. It is shown in this note that R is a commutative ring.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 1 , February 1977 , pp. 75 - 77
Copyright
Copyright © Australian Mathematical Society 1977

References

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