(σ, τ)- Strongly Derivations Pairs on Rings

Let R be an associative ring. In this paper we present the definition of (σ, τ)- Strongly derivation pair and Jordan (σ, τ)- strongly derivation pair on a ring R, and study the relation between them. Also, we study prime rings, semiprime rings, and rings that have commutator left nonzero divisior with (σ, τ)- strongly derivation pair, to obtain a( σ, τ)- derivation. Where (,σ, τ): R→R are two mappings of R.