2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77555We prove there is an equivalence of ribbon categories between a category introduced by Turaev whose morphisms are planar diagrams and a full subcategory of the category of finite-dimensional modules over U_q(sl_2).LaTeX2e, 24 pages, 5 figures. Proofs simplified, composition revisedQuantum Algebra17B37, 57M25, 81R50text