2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120497We show that the roots of a Weierstrass polynomial on several variables are power series with rational exponents of bounded denominators, whose Newton diagrams are contained in an S-cone. As an application, in Section 4 we deal with some topics of integral dependence of Puiseux power series.Commutative Algebra15A04; 15A36; 13F25text