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Let be a prime -algebra and preserves triple -Jordan derivation on , that is, for every $A,B \in $\Phi(A\diamond B \diamond C)=\Phi(A)\diamond B\diamond C+A\diamond \Phi(B)\diamond C+A\diamond B\diamond \Phi©$A\diamond B = AB + BA^{\ast}\Phi\Phi(\alpha I)$ is self-adjoint for then is a -derivation.

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