对*-素环 Jordan 理想上广义导子性质的研究

Properties of Generalized Derivations on Jordan ideals of*-Prime Ring

设R是2-扭自由*-素环,J是R的非零-Jordan理想,并且是R的子环,若F和G是R的广义导子,d和g是F和G的伴随导子,导子g与可交换,若满足(F(u)v+F(v)u)±(uG(v)+vG(u))=0,u,v∈J,则R是可交换的.

Let(R,)be a-prime ring with characteristic not two and J a nonzero-Jordan ideal and a subring of R,if admits F and G be generalized derivation associated with derivation d and g which commute such that(F(u)v+F(v)u)±(uG(v)+vG(u))=0,for all u,v∈J,then R is commutative.