Geodesic
On some properties of the upper central series in Leibniz algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 2, pp. 161-175.

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This article discusses the Leibniz algebras whose upper hypercenter has finite codimension. It is proved that such an algebra $L$ includes a finite dimensional ideal $K$ such that the factor-algebra $L/K$ is hypercentral. This result is an extension to the Leibniz algebra of the corresponding result obtained earlier for Lie algebras. It is also analogous to the corresponding results obtained for groups and modules.
DOI : 10.14712/1213-7243.2019.009
Classification : 17A32, 17A60, 17A99
Keywords: Leibniz algebra; Lie algebra; center; central serie; hypercenter; nilpotent residual 
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Kurdachenko, Leonid A.; Otal, Javier; Subbotin, Igor Ya. On some properties of the upper central series in Leibniz algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 2, pp. 161-175. doi : 10.14712/1213-7243.2019.009. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2019.009/

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