Could someone give an example of ideals of non Noetherian Lie algebra, please?
A Lie algebra $L$ satisfy the maximum condition for ideals, if for each , ascending chain $H_{1} \subseteq H_{2} \subseteq \ldots $ an index $m$ exists such that $H_{i}=H_{k}$ if $m<i$, $m<k .$
We say in short: $ L\in{\rm Max}-\triangleleft$ or $L$ is Noetherian Lie algebra.