TY - JOUR
ID - 2053
TI - C#-IDEALS OF LIE ALGEBRAS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Goudarzi, L.
AD - Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran.
Y1 - 2021
PY - 2021
VL - 9
IS - 1
SP - 45
EP - 51
KW - C^#-ideal
KW - Lie algebra
KW - CAP-subalgebra
KW - solvable
KW - supersolvable
DO - 10.22044/jas.2020.9458.1461
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_2053.html
L1 - https://jas.shahroodut.ac.ir/article_2053_33d2e7d3c4127015fe8fd3c756ef1561.pdf
ER -