2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70076We show that some associative algebras whose product splits up into the sum of several operations and are free, in a certain sense, with respect to these operations, admit a Hopf algebra structure. We show that the operad of dendriform algebras play a crucial role in this context, and we give numerous examples.In frenchQuantum AlgebraK-Theory and Homology16A24; 16W30; 18D50text