The main purpose of this paper is to study and investigate certain results concerning the (σ,τ)-generalized derivation D associated with the (σ,τ)-derivation d of semiprime and prime rings R, where σ and τ act as two automorphism mappings of R. We focus on the composition of (σ,τ)-generalized derivations of the Leibniz’s formula, where we introduce the general formula to compute the composition of the (σ,τ)-generalized derivation D of R.
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