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On a commutativity theorem for semi-simple rings
Published online by Cambridge University Press: 17 April 2009
Abstract
In this note a theorem proved by Abu-Khuzam and Yaqub has been improved as follows: let R be a semi-simple ring such that for all x, y in R there exists a positive integer n = n(x, y) for which either (xy)n + (yx)n or (xy)n – (yx)n is central. Then R is commutative.
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- Copyright © Australian Mathematical Society 1985
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