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A commutativity theorem for rings
Published online by Cambridge University Press: 17 April 2009
Abstract
We prove the following theorem: Let R be a ring, l a positive integer, and n a non-negative integer. If for each x, y ∈ R, either xy = yx or xy = xn f(y)x1 for some f(X) ∈ X2Z[X], then R is commutative.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 387 - 389
- Copyright
- Copyright © Australian Mathematical Society 1991
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