Crespo Vicente, TeresaBañuelos Villanueva, Yasmina2022-03-182022-03-182021-06-20https://hdl.handle.net/2445/184169Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente[en] Galois theory is one of the most famous in the mathematics field. This theory usually uses groups as the main structure of study. We’ll work to find a generalization of this theory, which will consist of using a more complex structure, the Hopf algebra. In the end, we’ll be able to find a relationship between a Hopf algebra associated with a Hopf Galois extension and a regular subgroup of permutations. This final result will be the one that will enable us to explicitly compute a Hopf algebra given the regular subgroup.36 p.application/pdfcatcc-by-nc-nd (c) Yasmina Bañuelos Villanueva, 2021http://creativecommons.org/licenses/by-nc-nd/3.0/es/Teoria de GaloisTreballs de fi de grauÀlgebres de HopfAnells associatiusGalois theoryBachelor's thesesHopf algebrasAssociative ringsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess