b -Generalized derivations on prime rings
Makaleler > Tam Makale · 2022
Yazarlar: T. Pehlivan, Emine ALBAŞ
Ukrains’kyi Matematychnyi Zhurnal, Uluslararası, 2022, cilt 74, ss 832-843
Özet
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.