A classification theorem for normal extensions
Category Theory
2016-04-12 v1
Abstract
For a particular class of Galois structures, we prove that the normal extensions are precisely those extensions that are "locally" split epic and trivial, and we use this to prove a "Galois theorem" for normal extensions. Furthermore, we interpret the normalisation functor as a Kan extension of the trivialisation functor.
Cite
@article{arxiv.1604.02604,
title = {A classification theorem for normal extensions},
author = {Mathieu Duckerts-Antoine and Tomas Everaert},
journal= {arXiv preprint arXiv:1604.02604},
year = {2016}
}
Comments
14 pages