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On commutativity of associative rings

Published online by Cambridge University Press:  17 April 2009

Mohd. Ashraf  and
Murtaza A. Quadri
Mohd. Ashraf
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh – 202 002, India
Murtaza A. Quadri
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh – 202 002, India
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Abstract

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In this paper we prove that if R is a ring with unity satisfying [xy − xn, ym = 0, for all x, y ∈ R and fixed integers m ≥ 1, n ≥ 1, then R is commutative.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 2 , October 1988 , pp. 267 - 271
Copyright
Copyright © Australian Mathematical Society 1988

References

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