2014-07-292011-06-022011-02-28MELO, Emerson Ferreira de. On lie Rings Admitting Automorphisms of Fintite Order and Lie Algebras Almost Nilpotent. 2011. 91 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.http://repositorio.bc.ufg.br/tede/handle/tde/1938In this work we present a study on Lie rings and algebras admitting an automorphism of finite order. We emphasize questions on nilpotency. We prove important results of this theory, for example the Higman, Kreknin and Kostrikin s Theorem. Furthermore, let L be a finite dimensional Lie algebra over an algebraically closed field of characteristic 0. Suppose that L admits a nilpotent Lie algebra D with n weights in L, and let m be the dimension of the Fitting null component with respect to D. Then L is almost nilpotent, namely, L contains a nilpotent subalgebra N of {m,n}-bounded codimension and of nbounded nilpotency class. If m = 0, then L is nilpotent of bounded class by a function of n. This theorem was published by E. I. Khukhro and P. Shumyatsky in the paper entitled Lie Algebras with Almost Constant-Free Derivations .application/pdfAcesso AbertoAnéis de LieÁlgebras de LieAutomorfismosQuase NilpotênciaLie RingsLie AlgebrasAutomorphismsAlmost Nilpotency1. Anéis de Lie 2. Álgebras de Lie 3. Automorfismos 4. Quase NilpotenteCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRADissertação