2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153720We give an analogue of the Hom functor and prove a generalized form of the nuclear democracy theorem of Tsuchiya and Kanie by using a notion of tensor product for two modules for a vertex operator algebra.Latex, 50 pages; accepted for publication in Duke Mathematical JournalQuantum AlgebraAn analogue of the Hom functor and a generalized nuclear democracy theoremtext