On some relationships between the generalized central series of Leibniz algebras

  • О. О. Pypka Oles Honchar Dnipropetrovsk National University, Dnipro, Ukraine
Keywords: Leibniz algebra, Lie algebra, Schur's theorem, Baer's theorem, Hegarty's theorem, D-center, D-derived subalgebra, upper (lower) D-central series

Abstract

UDC 512.554

The purpose of this article is to show a close relationship between the generalized central series of Leibniz algebras. Some analogues of the classical group-theoretical theorems by Schur and Baer for Leibniz algebras are proved.

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Published
17.12.2021
How to Cite
PypkaО. О. “On Some Relationships Between the Generalized Central Series of Leibniz Algebras”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 12, Dec. 2021, pp. 1691 -97, doi:10.37863/umzh.v73i12.6739.
Section
Research articles