Jordan derivations and antiderivations on triangular matrices
Benkovič, Dominik
We define an antiderivation from an algebra A into an A-biomodule M as a linear ▫$\delta : A \to M$▫ such that ▫$ \delta(ab)=\delta(b)a+b\delta(a)$▫ for all ▫$a,b \in A$▫. The main result states that ...every Jordan derivation from the algebra of all upper triangular matrices into its biomodule is the sum of a derivation and an antiderivation.
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