Correspondence theorems for infinite Hopf–Galois extensions
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.
Authors
- Gabor Wiese (ORCID: https://orcid.org/0000-0001-5106-6737)
- Joost Vercruysse (ORCID: https://orcid.org/0000-0002-8154-5357)
- H.-Q. Bui (ORCID: https://orcid.org/0009-0002-1223-4835)
Institutions
- Université Libre de Bruxelles (BE)
- University of Luxembourg (LU)
Publication Details
- Journal
- Documenta Mathematica
- Published
- 2025-08-25
- DOI
- https://doi.org/10.4171/dm/993
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00