Abstract
Let 1 < k and m, k is an element of Z(+). In this manuscript, we analyse the action of (semi)-prime rings satisfying certain differential identities on some suitable subset of rings. To be more specific, we discuss the behaviour of the semiprime ring R. satisfying the differential identities ([d([s ,t](m)), [s, t](m)])(k) = [d ([s, t](m)), [s, t](m)] for every s,t is an element of R.