A result of commutativity of rings

Vishnu Gupta

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-8

Abstract:

In this paper we prove the following:

THEOREM. Let n > 1 and m be fixed relatively prime positive integers and k is any non-negative integer. If R is a ring with unity 1 satisfying x k [ x n , y ] = [ x , y m ] for all x , y ∈ R then R is commutative.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:518412

DOI: 10.1155/S0161171294000104

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