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On Lie Automorphisms,Additive Subgroups,and Lie Ideals of Prime Rings |
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| Abstract: | Abstract Let R be a prime ring of characteristic not equal to 2 or 3 and let L be a noncentral Lie ideal of R. Suppose that σ is a Lie automorphism on L such that σ4 is not the identity map. Then the additive subgroup generated by the set {[x σ, x] ∣ x ∈ L} contains a noncentral Lie ideal of R. |
| Keywords: | Prime ring Lie automorphism Lie ideal Generalized polynomial identity |