@article {
author = {Goudarzi, L.},
title = {C#-IDEALS OF LIE ALGEBRAS},
journal = {Journal of Algebraic Systems},
volume = {9},
number = {1},
pages = {45-51},
year = {2021},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2020.9458.1461},
abstract = {Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$. This is analogous to the concept of a $c^{\#}$-normal subgroup of a finite group. Now, we consider the influence of this concept on the structure of finite dimentional Lie algebras.},
keywords = {C^#-ideal,Lie algebra,CAP-subalgebra,solvable,supersolvable},
url = {https://jas.shahroodut.ac.ir/article_2053.html},
eprint = {https://jas.shahroodut.ac.ir/article_2053_33d2e7d3c4127015fe8fd3c756ef1561.pdf}
}