Hopf-Galois extensions and isomorphisms of small categories
Rings and Algebras
2015-03-17 v1
Abstract
We associate two linear categories with two objects to a module over the subalgebra of coinvariants of a Hopf-Galois extension, and prove that they are isomorphic. The structure Theorem for cleft extensions, and the Militaru \cStefan lifting Theorem can be obtained using these isomorphisms.
Keywords
Cite
@article{arxiv.1004.5235,
title = {Hopf-Galois extensions and isomorphisms of small categories},
author = {S. Caenepeel},
journal= {arXiv preprint arXiv:1004.5235},
year = {2015}
}
Comments
21 pages