Characterizations of Lie triple derivations on generalized matrix algebras

Let R be a commutative ring with unity and G = G(A, M, N, B) be a generalized matrix algebra. In this article, we give the structure of Lie triple derivation L on a generalized matrix algebra G and prove that under certain appropriate assumptions L on G is proper, i.e., L = delta + chi, where delta is a derivation on G and chi is a mapping from G into its center Z(G) which annihilates all second commutators in G, i.e., rho([[x, y], z]) = 0 for all x, y, z is an element of G.