Resumen de Derivations in commutators with power central values in rings

Yi-Qiu Du, Yu Wang

• Let R be a prime ring of characteristic di®erent from 2 and I a nonzero ideal of R, d a nonzero derivation of R such that [d(xk); xk]n is central, for all x 2 I where k, n are ¯xed positive integers. Then R satis¯es s4, the standard identity in 4 variables.