COMMUTATIVITY OF RIGHT $S$-UNITAL RINGS UNDER SOME POLYNOMIAL CONSTRAINTS
COMMUTATIVITY OF RIGHT $S$-UNITAL RINGS UNDER SOME POLYNOMIAL CONSTRAINTS
In the present paper we discuss the commutativity of certain rings, namely rings with unity 1 and right s-unital rings under each of the following conditions: \[ (P1)[yx^m - x^nf (y), x] = 0, \quad (P1)^*[yx^m - f (y)x^n, x] = 0, \] where $m$, $n$ are fixed non-negative integers …