2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120952We introduce 3-irreducible modules, even roots and odd roots for Leibniz algebras, produce a basis for a root space of a Leibniz algebra with a semisimple Lie factor, and classify finite dimensional simple Leibniz algebras with Lie factor $s\ell_2$.9 pagesRings and Algebras17D99Even (Odd) Roots and Simple Leibniz Algebras with Lie Factor $s\ell_2$text