The concept of derivation on rings is an old problem and plays a very important role in algebra,  analysis, geometry and physics. The concept of derivation was generalized in different directions  as centralizing derivation, Lie and Jordan derivations, (θ, φ)- derivation, generalized derivations  and reverse derivations. The main aim of this research is to generalize these concepts. Therefore,  the action of (θ, φ)- derivations on Lie and Jordan Ideals of prime rings with characteristic not  equal two will be investigated.  The next objective was to determine the commutativity of a prime  ring when the generalized derivation acting on the Jordan ideal of a prime ring. Furthermore, this  research will extend the centralizing derivations and reverse derivation on δ- ideal for δ- prime  rings. Finally, we extended the concepts of generalized reverse derivation and generalized reverse  (θ, φ)- derivation on a δ- prime and δ- semiprime rings. Some techniques and.....

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