Engel Subalgebras of Leibniz Algebras

  title={Engel Subalgebras of Leibniz Algebras},
  author={Donald W Barnes},
Engel subalgebras of finite-dimensional Leibniz algebras are shown to have similar properties to those of Lie algebras. Using these, it is shown that a left Leibniz algebra, all of whose maximal subalgebras are right ideals, is nilpotent. A primitive Leibniz algebra is shown to split over its minimal ideal and that all the complements to its minimal ideal… CONTINUE READING