2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63937We introduce the concept of Hopf-Galois system, a reformulation of the notion of Galois extension of the base field for a Hopf algebra. The main feature of our definition is a generalization of the antipode of an ordinary Hopf algebra. The main application of Hopf-Galois systems is the construction of monoidal equivalences between comodule categories over Hopf algebras.15 pagesQuantum AlgebraRings and Algebras16W30; 18D10text