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A commutativity theorem for left s -unital rings

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  • Hamza A. S. Abujabal

Abstract

In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s -unital ring. If there exist nonnegative integers m > 1 , k ≥ 0 , and n ≥ 0 such that for any x , y in R , [ x k y − x n y m , x ] = 0 , then R is commutative.

Suggested Citation

  • Hamza A. S. Abujabal, 1990. "A commutativity theorem for left s -unital rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 13, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:392717
    DOI: 10.1155/S0161171290001065
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