Derivations as Homomorphisms or Anti-homomorphisms on Lie Ideals
Source: Acta Mathematica Sinica, Volume 23, Number 6, June 2007 , pp. 1149-1152(4)
Abstract:Let R be a 2-torsion free prime ring, Z the center of R, and U a nonzero Lie ideal of R. If d is a derivation of R which acts as a homomorphism or an anti-homomorphism on U, then either d = 0 or U ⊑ Z. This result improves a theorem of Asma, Rehman, and Shakir.
Document Type: Research Article
Publication date: 2007-06-01