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Abstract
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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

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.