Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz

Let R be a prime ring with center Z ( R ) , right Martindale quotient ring Q and extended centroid C . By a b -generalized derivation we mean an additive mapping g : R → Q such that g ( x y ) = g ( x ) y + b x d ( y ) for all x , y ∈ R , where b ∈ Q and d : R → Q is an additive map. In this paper, we extend some well-known results concerning (generalized) derivations on prime rings to b -generalized derivations. Further we investigate b -generalized derivation acting as a homomorphism or anti-homomorphism in a prime ring.

No abstract