(,)- Strongly Derivations Pairs on Rings

Abstract

Let R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- 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 (s,t)- strongly derivation pair, to obtain a (s,t)- derivation. Where s,t: R®R are two mappings of R.

Keywords

• Prime ring, semiprime ring, (,)-derivation, (,)-Strongly derivation pair, Jordan (,)-Strongly derivation pair.