On commutativity of one-sided s -unital rings

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

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-6

Abstract:

The following theorem is proved: Let r = r ( y ) > 1 , s , and t be non-negative integers. If R is a left s -unital ring satisfies the polynomial identity [ x y − x s y r x t , x ] = 0 for every x , y ∈ R , then R is commutative. The commutativity of a right s -unital ring satisfying the polynomial identity [ x y − y r x t , x ] = 0 for all x , y ∈ R , is also proved.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:795306

DOI: 10.1155/S0161171292001078

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