Makarenko, N. Yu.; Khukhro, E. I. Lie rings admitting an automorphism of order 4 with few fixed points. (English. Russian original) Zbl 0903.17008 Algebra Logika 37, No. 2, 144-166 (1998); translation in Algebra Logic 37, No. 2, 78-91 (1998). In the article, the following theorem is proven. Theorem. If a Lie ring (algebra) \(L\) admits an automorphism of order 4 with a finite number \(m\) of fixed points (with the subalgebra of fixed points having finite dimension \(m\)) then \(L\) has a subring \(S\) of \(m\)-bounded index in the additive group \(L\) (a subalgebra \(S\) of \(m\)-bounded codimension) possessing a nilpotent ideal \(I\) of degree bounded by some constant such that the quotient ring \(S/I\) is nilpotent of degree \(\leq 2\). Reviewer: M.F.Murzina (Novosibirsk) Cited in 6 Documents MSC: 17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras Keywords:Lie ring; Lie algebra; fixed point Citations:Zbl 0896.17005 PDFBibTeX XMLCite \textit{N. Yu. Makarenko} and \textit{E. I. Khukhro}, Algebra Logika 37, No. 2, 144--166 (1998; Zbl 0903.17008); translation in Algebra Logic 37, No. 2, 78--91 (1998)