M. ASHRAF, M. A. QUADRI and V. W. JACOB
On commutativity of right s-unital rings
Received: 18 September 1991
Mathematics Subject Classification: 16U80
Abstract It is shown that a right s-unital ring R is commutative if and only if for each non-negative integers m, n and each y in R there exists f(X)εX2Z[X] such that [yxm-xnf (y), x]=0 for all x in R. Further, the result has been extended to the case whwn the exponents m and n depend on the choice of x and y.