Mathematics - Number Theory; Mathematics - Rings and Algebras; 12F10, 20E18, 16S40, 16T05
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Bui, Hoan-Phung
Vercruysse, Joost
WIESE, Gabor ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Language :
English
Title :
Correspondence theorems for infinite Hopf-Galois extensions
