Commutativity of prime rings involving multiplicative b-generalized derivation

‎Let \Qa_{mr} be a maximal right ring of quotients of \Aa‎, ‎where \Aa is a prime ring‎. ‎A map \Fa‎ : ‎\Aa \rightarrow \Qa_{mr} associated with derivation d‎ : ‎\Aa \rightarrow \Aa is called a multiplicative b-generalized derivation (need not necessarily additive) if \Fa(l m ) = \Fa(l )m‎ + ‎bl d(m ) holds for all l‎ ,‎m \in \Aa and for some b \in \Qa_{mr}‎. ‎In this article‎, ‎we study the commutativity of prime rings when the map b-generalized derivation satisfies the strong commutativity preserving condition and some central identities‎.

کلیدواژه ها:

Derivation ، prime ring ، multiplicative generalized derivation ، multiplicative b-generalized derivation