On commutativity theorems for rings

H. A. S. Abujabal and M. S. Khan

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-6

Abstract:

Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [ x n y − y m x n , x ] = 0 ( m > 1 , n ≥ 1 ) , then R is commutative. Two or more related results are also obtained.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:986250

DOI: 10.1155/S0161171290000126

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