Toral sub algebra

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It seems to me, I could be wrong, that the toral sub algebra goes against the following rules:

For a semisimple Lie algebra:

If the killing form is nondegenerate the Lie algebra is semi simple-> the toral algebra is nilpotent

If the lie algebra is abelian the killing form is degenerate-> contradicting the previous statement.

Can anyone explain why? And if I am correct, the toral sub algebra of a semisimple Lie algebra is not an ideal.