2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77622We construct a monomial basis of the positive part of the quantized enveloping algebra associated to a finite-dimensional simple Lie algebra. As an application we give a simple proof of the existence and uniqueness of the canonical basis of the positive part.12 pages, no figures, Latex fileQuantum Algebra17Btext