TY - JOUR
AU - Semko, N.N.
AU - Skaskiv, L.V.
AU - Yarovaya, O.A.
PY - 2020/12/30
Y2 - 2024/11/02
TI - Leibniz algebras, having a dense family of ideals
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 12
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.12.2.451-460
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/4156
SP - 451-460
AB - <p>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.</p>
ER -