4.3 Article

On nilpotent and simple Leibniz algebras

Journal

COMMUNICATIONS IN ALGEBRA
Volume 33, Issue 1, Pages 159-172

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1081/AGB-200040932

Keywords

Leibniz algebras; Lie algebras; nilpotent; solvable; simple Leibniz algebras; Engel's conditions; Leibniz superalgebras

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Leibniz algebras that are noncommutative generalizations of Lie algebras are considered. Nilpotent and simple Leibniz algebras are investigated. The structure theory of finite-dimensional Leibniz algebras with additional properties is studied. We also introduce the notion of Leibniz superalgebra.

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