ON NILPOTENT LEIBNIZ n-ALGEBRAS-Reference-Cited by-同舟云学术

ON NILPOTENT LEIBNIZ n-ALGEBRAS

Published:2012-05-24 Issue:03 Volume:11 Page:1250062
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

CAMACHO L. M.¹,CASAS J. M.²,GÓMEZ J. R.¹,LADRA M.³,OMIROV B. A.⁴

Affiliation:

1. Departamento de Matemática Aplicada I, Universidad de Sevilla, Avda. de Reina Mercedes s/n, 41012 Sevilla, Spain

2. Departamento de Matemática Aplicada I, Universidad de Vigo, EUIT. Forestal, Campus Universitario A Xunqueira, 36005 Pontevedra, Spain

3. Departamento de Álgebra, Universidad de Santiago, E-15782 Santiago de Compostela, Spain

4. Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, F. Hodjaev str. 29, 100125 Tashkent, Uzbekistan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812500624

Reference24 articles.

1. ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS

2. Cartan Subalgebras of Leibniz n-Algebras

3. On Leibniz Algebras

4. Commutativen-Ary Leibniz Algebras

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