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C#-IDEALS OF LIE ALGEBRAS

L. Goudarzi

Volume 9, Issue 1 , September 2021, , Pages 45-51

https://doi.org/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 ...  Read More