Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals

oleh: Nadeem ur Rehman, Mohd Arif Raza

Format: Article
Diterbitkan: Emerald Publishing 2016-01-01

Deskripsi

Let R be a prime ring of char(R)≠2, Z the center of R, and L a nonzero Lie ideal of R. If R admits a generalized derivation F associated with a derivation d which acts as a homomorphism or as anti-homomorphism on L, then either d=0 or L⊆Z. This result generalizes a theorem of Wang and You.