International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 65-72
doi:10.1155/S0161171294000104

A result of commutativity of rings

Vishnu Gupta

Department of Mathematics, M.D. University, P.G. Regional Centre, Rewari, (Haryana), India

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 xk[xn,y]=[x,ym] for all x,yR then R is commutative.