Geodesic
Some aspects of Leibniz algebra theory
Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 1-33

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One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the Lie algebras.
Keywords: Leibniz algebra, cyclic Leibniz algebra, left (right) center, lower (upper) central series, finite dimensional Leibniz algebra, nilpotent Leibniz algebra, extraspecial Leibniz algebra, bilinear form, left (right) idealizer, nil-radical, nil-algebra, soluble Leibniz algebra, left (right) subideal, Leibniz $T$-algebra, Baer radical.
Mots-clés : Frattini subalgebra 
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Vladimir V. Kirichenko; Leonid A. Kurdachenko; Aleksandr A. Pypka; Igor Ya. Subbotin. Some aspects of Leibniz algebra theory. Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 1-33. http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a1/