Extensions finites Hopf Galois
| dc.contributor.advisor | Crespo Vicente, Teresa | |
| dc.contributor.author | Bañuelos Villanueva, Yasmina | |
| dc.date.accessioned | 2022-03-18T11:34:37Z | |
| dc.date.available | 2022-03-18T11:34:37Z | |
| dc.date.issued | 2021-06-20 | |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente | ca |
| dc.description.abstract | [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. | ca |
| dc.format.extent | 36 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | https://hdl.handle.net/2445/184169 | |
| dc.language.iso | cat | ca |
| dc.rights | cc-by-nc-nd (c) Yasmina Bañuelos Villanueva, 2021 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | |
| dc.subject.classification | Teoria de Galois | ca |
| dc.subject.classification | Treballs de fi de grau | |
| dc.subject.classification | Àlgebres de Hopf | ca |
| dc.subject.classification | Anells associatius | ca |
| dc.subject.other | Galois theory | en |
| dc.subject.other | Bachelor's theses | |
| dc.subject.other | Hopf algebras | en |
| dc.subject.other | Associative rings | en |
| dc.title | Extensions finites Hopf Galois | ca |
| dc.type | info:eu-repo/semantics/bachelorThesis | ca |
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