2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64565We prove the equivalence of two fundamental properties of algebraic stacks: being a quotient stack in a strong sense, and the resolution property, which says that every coherent sheaf is a quotient of some vector bundle. Moreover, we prove these properties in the important special case of orbifolds whose associated algebraic space is a scheme.23 pages. To appear in J. Reine Angew. MathAlgebraic Geometry14A20 (Primary) 14L30 (Secondary)text