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International Journal of Mathematics and Mathematical Sciences 
Volume 13 (1990), Issue 1, Pages 87-92
doi:10.1155/S0161171290000126

On commutativity theorems for rings

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

Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. BOX 9028, Jeddah 21413, Saudi Arabia

Received 2 February 1989

Abstract

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