On the anticommutativity in Leibniz algebras
Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 97-109

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Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency (Lie nilpotentency).
Keywords: Leibniz algebra, Lie algebra, center, Lie-center, anticenter, central series, anticentral series, Lie-central series.
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Leonid A. Kurdachenko; Nikolaj N. Semko; Igor Ya. Subbotin. On the anticommutativity in Leibniz algebras. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 97-109. http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a9/