Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin
On some properties of the upper central series in Leibniz algebras

Comment.Math.Univ.Carolin. 60,2 (2019) 161-175.

Abstract: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.

Keywords: Leibniz algebra; Lie algebra; center; central serie; hypercenter; nilpotent residual

DOI: DOI 10.14712/1213-7243.2019.009
AMS Subject Classification: 17A32 17A60 17A99