2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60741In this paper we develop the theory of operads, algebras and modules in cofibrantly generated symmetric monoidal model categories. We give J-semi model strucures, which are a slightly weaker version of model structures, for operads and algebras and model structures for modules. In a second part we develop the thoery of S-modules of [EKMM]., which allows a general homotopy theory for commutative algebras and pseudo unital symmetric monoidal categories of modules over them. Finally we prove a base change and projection formula.48 pages, part of PHD thesisAlgebraic TopologyCategory Theory55U35, 18G55text