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Let  A  be a unital prime *-algebra with characteristic not 2 and with a projection. Suppose thatis a map satisfyingfor all, wheredenotes the symmetric Martindale algebra of quotients of  A . It is shown that  d  is an additive triple derivation. Moreover, there existwithand an additive *-derivationsuch thatfor all. The analogous results for prime locally matrix *-algebras, prime *-algebras with nonzero socle, factor von Neumann algebras and standard operator *-algebras on Hilbert spaces are also described.

Triple derivable maps on prime algebras with involution