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Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals
oleh: Nadeem ur Rehman, Mohd Arif Raza
Format: | Article |
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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.