Article

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

Journal of Algebra and Its Applicationsjournal2012en

ABI

Abstract

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.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.1142/s0219498812500624

Citations and references

Cited by 3 21 references

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