Correspondence theorems for infinite Hopf-Galois extensions
Number Theory
2024-04-11 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2404.06724,
title = {Correspondence theorems for infinite Hopf-Galois extensions},
author = {Hoan-Phung Bui and Joost Vercruysse and Gabor Wiese},
journal= {arXiv preprint arXiv:2404.06724},
year = {2024}
}
Comments
37 pages