2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209629We show that any closed model category of simplicial algebras over an algebraic theory is Quillen equivalent to a proper closed model category. By ``simplicial algebra'' we mean any category of algebras over a simplicial algebraic theory, which is allowed to be multi-sorted. The results have applications to the construction of localization model category structures.Algebraic TopologyCategory Theory18G55 (Primary) 18C10, 55U35 (Secondary)Every homotopy theory of simplicial algebras admits a proper modeltext