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
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ABI
Annotatsiya
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.
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