2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119369In 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.11 pagesRings and AlgebrasRepresentation Theory17A32, 17A60, 17B30text