2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119267We give an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero. It is based on an algorithm for finding integral linear dependencies of the roots of a polynomial, that is probably of independent interest.18 pages, 2 figuresRings and AlgebrasGroup Theory17B45; 11Y40Constructing algebraic Lie algebrastext