On Leibniz algebras whose subalgebras are either ideals or self-idealizing

  • L. A. Kurdachenko Oles Honchar Dnipropetrovsk National University, Dnipro, Ukraine
  • O. O. Pypka Oles Honchar Dnipropetrovsk National University, Dnipro, Ukraine
  • I. Ya. Subbotin Nat. University, Los Angeles, USA

Abstract

UDC 512.554

A subalgebra $S$ of a Leibniz algebra $L$ is called self-idealizing in $L$ if it coincides with its idealizer $\mathrm{I}_{L}(S).$
In this paper we study the structure of Leibniz algebras whose subalgebras are either ideals or self-idealizing.

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Published
18.06.2021
How to Cite
Kurdachenko, L. A., O. O. Pypka, and I. Y. Subbotin. “On Leibniz Algebras Whose Subalgebras Are Either Ideals or Self-Idealizing”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 6, June 2021, pp. 811 -26, doi:10.37863/umzh.v73i6.6688.
Section
Research articles