**M. ASHRAF, M. A. QUADRI** and **V. W. JACOB**

*On commutativity of right s-unital rings*

**Pages:** 39-43

**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)εX^{2}Z[X] such
that [yx^{m}-x^{n}f (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.