2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112945We study a natural construction of Hopf algebra quotients canonically associated to an R-matrix in a finite dimensional Hopf algebra. We apply this construction to show that a quasitriangular Hopf algebra whose dimension is odd and square-free is necessarily cocommutative.21 pages, amslatexQuantum Algebra16W30R-matrices and Hopf algebra quotientstext