On under the certain condition of one-sided ideals and derivations of prime gamma rings

In this study we obtained some results for under certain condition of prime gamma rings parallel to the study of Bre？ar [3] “One-sided Ideals and Derivations of Prime Rings”. Bre？ar proved if d(U)U=0 then d(x)=[q,x]=qx-xq for q Q s.t. qU=0, for prime ring R with Char R≠2, d, derivation on R and U, right ideal of R. And use this for some next theorems. In this study we try to obtain similar characterization for prime gamma rings