We should make it clear that although he was examining conditions on a Lie algebra which essentially made it semisimple (that is having no soluble ideals) in Programmschrift, he was not aiming at such a classification at this stage.
Namin ang dapat gawin ito ng malinaw na kahit na siya ay ang pagsusuri kondisyon sa pagsinungalingan algebra na mahalagang ginawa ito semisimple (na ito ay hindi maipaliliwanag ideals) sa Programmschrift, siya ay hindi aiming at tulad ng isang pag-uuri sa hakbang na ito.