Generalized Lie triple derivations on generalized matrix algebras

Abstract

Let be a commutative ring with identity, be -algebras, be an -bimodule and be a -bimodule. The -algebra is a generalized matrix algebra defined by the Morita context In this article, we give the structure of generalized Lie triple derivations GL on generalized matrix algebras and prove that under certain restrictions GL can be written as where Δ is a generalized derivation and χ is a central valued mapping.