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