Generalized (σ,τ)-derivations on associative rings satisfying certain identities

The main purpose of this paper is to study a number of results concerning the generalized (σ, τ )-derivation D associated with the derivation d of the semiprime ring and prime ring R such that D and d are zero power valued on R, where the mappings σ and τ act as automorphism mappings. Precisely, this article divided into two sections, in the first section, we emphasize on generalized (σ, τ )-derivation D associated with the derivation d of the semiprime ring and prime ring R while in the second section, we study the effect of the compositions of generalized (σ, τ )-derivations of the semiprime ring and prime ring R such that D is period (n − 1) on R, for some positive integer n.