علی تقوی

Taghavi et al. in [TAGHAVI, A.|ROHI, H.|DARVISH, V.: Non-linear -Jordan derivations on von Neumann algebras, Linear Multilinear Algebra 64 (2016), 426{439] proved that the map : A ! A which satis es the following condition (A  B) = (A)  B + A  (B) where A  B = AB + BA for every A;B 2 A is an additive -derivation. In this short note, we prove that when A is a prime -algebras and : A ! A satis es the above condition, then  is -additive. Moreover, if (iI) is self-adjoint then  is derivation.