Nonlinear mixed Lie triple derivations on prime *-rings
Liang Kong, Chao Li*
ABSTRACT: Let R be a 2-torsion free unital prime ?-ring containing a nontrivial symmetric idempotent. We prove that
if a map ? : R ? R satisfies ?([[A, B]?
, C]) = [[?(A), B]?
, C] + [[A,?(B)]?
, C] + [[A, B]?
,?(C)] for all A, B, C ? R, then
? is an additive ?-derivation.