科研之友
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摘要
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 subset of Z. This result improves a theorem of Asma, Rehman, and Shakir.
