Generalized Lie Triple Derivations of Trivial Extension Algebras
Indian statistical institute series(2023)
Abstract
In this article, we give the structure of generalized Lie triple derivations of trivial extension algebras and prove that under certain appropriate assumptions every generalized Lie triple derivation of a trivial extension algebra is the sum of a generalized derivation and a linear mapping from the trivial extension algebra into its center that vanishes on all second commutators.
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Key words
generalized lie triple derivations,extension
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