International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 1, Pages 87-92
doi:10.1155/S0161171290000126
On commutativity theorems for rings
Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. BOX 9028, Jeddah 21413, Saudi Arabia
Received 2 February 1989
Copyright © 1990 H. A. S. Abujabal and M. S. Khan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.