Abstract

We define an antiderivation from an algebra A into an A -bimodule M as a linear map δ : A → M such that δ( ab) = δ( b) a + bδ( a) for all a , b ∈ A . The main result states that every Jordan derivation from the algebra of all upper triangular matrices into its bimodule is the sum of a derivation and an antiderivation.

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