Generalize derivations on semiprime rings

The purpose of this paper is to study the concept of generalize derivations in the sense of Nakajima on semi prime rings, we proved that a generalize Jordan derivation (/, [partial derivative]) on a ring R is a generalize derivation if R is a commutative or a non commutative 2-torsion free semi prime with d is symmetric hochschilds 2-cocycles of R. Also we give a necessary and sufficient condition for generalize derivations (f,[[partial derivative].sub.1]), (g, [[partial derivative].sub.2]) on a semi prime ring to be orthogonal.