TY - JOUR
AU - T. Pehlivan
AU - E. Albaş
PY - 2022/07/07
Y2 - 2022/08/15
TI - $b$ -Generalized derivations on prime rings
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 6
SE - Research articles
DO - 10.37863/umzh.v74i6.5989
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/5989
AB - 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 $g:R\rightarrow Q$ such that $g(xy) = g(x)y + bxd(y)$ for all $x,y \in R$, where $b \in Q$ and $d: R \rightarrow Q$ 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.
ER -