2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68102Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.Commutative AlgebraAlgebraic Geometry12J20; 13A18text