2024-04-052024-04-052024https://arxiv.org/abs/2402.16852https://hdl.handle.net/10669/91139We review Hopf–Galois extensions, in particular faithfully flat ones, accepted to be the noncommutative algebraic dual of a principal bundle. We also make a short digression into how quantum groups relate to Hopf—Galois extensions. Several examples are given, in order to provide a satisfactory understanding of each topic.engacceso embargadoMATHALGEBRAartículo preliminar10.48550/arXiv.2402.16852