ON NILPOTENT LEIBNIZ n-ALGEBRAS
L.M. CamachoDepartamento de Matemática Aplicada I, Universidad de Sevilla, Avda. de Reina Mercedes s/n, 41012 Sevilla, SpainJ. M. CasasDepartamento de Matemática Aplicada I, Universidad de Vigo, EUIT. Forestal, Campus Universitario A Xunqueira, 36005 Pontevedra, SpainJ.R. GómezDepartamento de Matemática Aplicada I, Universidad de Sevilla, Avda. de Reina Mercedes s/n, 41012 Sevilla, SpainM. LadraDepartamento de Álgebra, Universidad de Santiago, E-15782 Santiago de Compostela, SpainB. A. OmirovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, F. Hodjaev str. 29, 100125 Tashkent, Uzbekistan
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We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.
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