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A Commutativity theorem for semiprime rings
Published online by Cambridge University Press: 09 April 2009
Abstract
It is shown that if R is a semiprime ring with 1 satisfying the property that, for each x, y ∈ R, there exists a positive integer n depending on x and y such that (xy)k − xkyk is central for k = n,n+1, n+2, then R is commutative, thus generalizing a result of Kaya.
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- Copyright © Australian Mathematical Society 1980