*-素环上同态或反同态的广义导子

Generalized derivation of the homomorphism or anti- homomorphism on *- Prime ring

R是2-扭自由*-素环,J是R的非零*-Jordan理想.F是R上具有非零伴随导子d的广义导子.若F(xy)=F(x)F(y)或F(xy)=F(y)F(x),x,y∈J,有d=0或R具有交换性.

In the present paper it is shown that:if R is 2-torsion free *-prime ring,J be a nonzero *-Jordan ideal.F is called a generalized derivation associated with a derovation d .If Either F(xy) =F(x)F(y) or F(xy) =F(y)F(x) for all x,y∈J ,then d =0 or R is commutative.