2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150805For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we study the zeros and poles of the quantum current operators and present a condition of integrability on the quantum current of $U_q\left(\hat{\frak sl}(2)\right)$, which is a deformation of the corresponding condition for $\hat{\frak sl}(2)$. We also present the results about the zeros and poles of the quantum current operators of $U_q\left(\hat{\frak sl}(n)\right)$.8 pages, Amslatex. The case for $U_q(\hat {\frak sl}(n))$ is addedQuantum Algebratext