2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121827We apply the theory of localization for tame and wild coalgebras in order to prove the following theorem: "Let Q be an acyclic quiver. Then any tame admissible subcoalgebra of KQ is the path coalgebra of a quiver with relations".23 pages, to appear in Journal of Pure and Applied AlgebraRepresentation TheoryRings and Algebras16G60, 18E35text