Lie triple derivations on primitive rings

Abstract

In this paper, we show that for each Lie triple derivation L on primitive ring R of characteristic not 2 with nontrivial idempotent, there exists an ordinary derivation D of R into a primitive ring [Formula: see text] containing R and additive mapping λ of R into the center of [Formula: see text] that annihilates commutators such that L(X) = D(X) + λ(X).