Leibniz algebras, having a dense family of ideals

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.

Bibliographic Details
Main Authors: N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4156