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.

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^a	Institute of Applied Mathematics, Shangluo University, Shangluo 726000 China

* Corresponding author, E-mail: lc6191@126.com

Received 4 Sep 2021, Accepted 10 Dec 2021

Nonlinear mixed Lie triple derivations on prime *-rings

Liang Kong, Chao Li*

Liang Kong, Chao Li^*