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ABSTRACT Let ℛ be a commutative ring with identity and let ???? = Tri(????,ℳ,ℬ) be a triangular algebra consisting of unital algebras ????,ℬ over ℛ and an (????,ℬ)-bimodule ℳ which… Click to show full abstract
ABSTRACT Let ℛ be a commutative ring with identity and let ???? = Tri(????,ℳ,ℬ) be a triangular algebra consisting of unital algebras ????,ℬ over ℛ and an (????,ℬ)-bimodule ℳ which is faithful as a left ????-module as well as a right ℬ-module. In this paper, we prove that under certain assumptions every nonlinear generalized Lie triple derivation GL:????→???? is of the form GL = δ+τ, where δ:????→???? is an additive generalized derivation on ???? and τ is a mapping from ???? into its center which annihilates all Lie triple products [[x,y],z].
Journal Title: Communications in Algebra
Year Published: 2017
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