Let A and B be two operator -rings such that A is prime. In this paper, we show that if the map : A ! B is bijective and preserves Jordan or -Jordan triple product, then it is additive. Moreover, if preserves Jordan triple product, we prove the multiplicativity or anti- multiplicativity of . Finally, we show that if A and B are two prime operator -algebras, : A ! B is bijective and preserves -Jordan triple product, then is a C-linear or conjugate C-linear -isomorphism.
