  In the present work the properties of Cartan subalgebras and their connection
with regular elements in finite dimensional Lie algebras are extended to the
case of Leibniz algebras. It is shown that Cartan subalgebras and regular
elements of a Leibniz algebra correspond to Cartan subalgebras and regular
elements of a Lie algebra by a natural homomorphism. Conjugacy of Cartan
subalgebras of Leibniz algebras is shown.
