Article

ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS

Sergio AlbeverioInstitut für Angewandte Mathematik , Universität Bonn , Bonn, GermanySh. A. AyupovInstitute of Mathematics , Uzbekistan Academy of Science , Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics , Uzbekistan Academy of Science , Tashkent, Uzbekistan

Communications in Algebrajournal2005en

ABI

Abstract

ABSTRACT 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.

Topics

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

Identifiers

DOI: 10.1081/agb-200040932

Citations and references

Cited by 31 4 references

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