2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185758Free field relization of vertex operators for lvel two modules of $U_q(\hat{sl(2)})$ is shown through the free field relization of the modules given by Idzumi in Ref.[4,5]. We constructed types I and II vertex operators when the spin of the addociated evaluation modules is 1/2 and typ II's for the spin 1.15 pages, to appear in J.Phys.A:Math and GeneralQuantum AlgebraFree Field Realization of Vertex Operators for Level Two Modules of $U_q(\hat{sl(2)})$text