Radwan Mohammed Al-Omary

Lie Ideals and Centralizing Mappings with Generalized Derivations

Radwan Mohammed Al-Omary & Nadeem Ur Rehman · Journal of Scientific Research and Reports · 2016

Let R be a prime ring with char(R) ≠ 2, Z(R) the center of R and L be a nonzero square closed Lie ideal of R. An additive mapping F : R → R is called a generalized derivation on R if there exists a derivation d : R → Rsuch that F(xy) = xF(y) + d(x)y for all x, y ∈ R. In the prese...