MULTIPLICATIVE b-GENERALIZED DERIVATIONS ON NON-COMMUTATIVE RINGS
MULTIPLICATIVE b-GENERALIZED DERIVATIONS
Abstract
In the current investigation, our primary objective is to find the structure of b-generalized derivations on Martindale ring of quotients. Infact, we establish that if b-generalized derivations satisfy some differential identities on non-commutative prime ring, then it will be a trivial (zero) derivation. Our proof contains an interesting approach in view of the existing classical theory about ordinary derivation presented in [12].
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