Correspondence theorems for infinite Hopf-Galois extensions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929308632612864 |
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| author | Bui, Hoan-Phung Vercruysse, Joost Wiese, Gabor |
| author_facet | Bui, Hoan-Phung Vercruysse, Joost Wiese, Gabor |
| contents | This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it provides a Galois correspondence. This correspondence also is a refinement of what was known in the case of finite separable Hopf-Galois extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06724 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Correspondence theorems for infinite Hopf-Galois extensions Bui, Hoan-Phung Vercruysse, Joost Wiese, Gabor Number Theory Rings and Algebras 12F10, 20E18, 16S40, 16T05 This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it provides a Galois correspondence. This correspondence also is a refinement of what was known in the case of finite separable Hopf-Galois extensions. |
| title | Correspondence theorems for infinite Hopf-Galois extensions |
| topic | Number Theory Rings and Algebras 12F10, 20E18, 16S40, 16T05 |
| url | https://arxiv.org/abs/2404.06724 |