2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123131We construct a new Quillen model, based on the notions of Drinfeld's DG quotient and localization pair, for the Morita homotopy theory of DG categories. This new Quillen model carries a natural closed symmetric monoidal structure and allows us to re-interpret Toen's construction of the internal Hom-functor for the homotopy category of DG categories as a total right derived internal Hom-functor.20 pages. A mistake in the proof of theorem 7.1 has been corrected. Section 4 addedK-Theory and HomologyAlgebraic Topology18D10, 18G10, 18G55 (Primary) 18E30, 18E35 (Secondary)text