2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160744We consider the category of presheaves of Gamma-spaces, or equivalently, of Gamma-objects in simplicial presheaves. Our main result is the construction of stable model structures on this category parametrised by local model structures on simplicial presheaves. If a local model structure on simplicial presheaves is monoidal, the corresponding stable model structure on presheaves of Gamma-spaces is monoidal and satisfies the monoid axiom. This allows us to lift the stable model structures to categories of algebras and modules over commutative algebras.33 pages, LaTeXAlgebraic Topology55P47 (Primary) 55P42, 55P43, 55P48 (Secondary)text