ABSTRACT
Let R be a prime right alternative ring with commuting nucleus U. We show that if U is not contained in the center, then R− := (R, +, [,]) is nilpotent of index at most 11. Thus R is a generalization of strongly (−1,1) rings (i.e. right alternative and [R, [R, R]) = 0). We assume characteristic different from 2 and 3.
