Leibniz algebras, having a dense family of ideals

Keywords: Leibniz algebra, Lie algebra, ideal, dense family, nilpotent Leibniz algebra
Published online: 2020-12-30

Abstract


We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$. We study the Leibniz algebras, having a dense family of ideals.

Article metrics
PDF downloads: 84
Abstract views: 122
How to Cite
(1)
SemkoN., SkaskivL., YarovayaO. Leibniz Algebras, Having a Dense Family of Ideals. Carpathian Math. Publ. 2020, 12 (2), 451-460.