2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229271We determine a class of ringed space X, for which the category of locally free sheaves of bounded rank is equivalent to the category of finitely generated projective A(X)-modules, where A(X) denote the ring of global sections of X. The well-known Serre-Swan theorems for affine schemes, differentiable manifolds, Stein spaces, etc., are then derived.8 pages; Accepted for publication in Mathematische NachrichtenAlgebraic Geometry14F05 (Primary); 16D40, 18F20 (Secondary)text