Generalized (σ,τ)-Derivations on Associative Rings Satisfying Certain Identities

Abstract

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.