A note on Galois theory for bialgebroids
| dc.creator | Kadison, Lars | |
| dc.date | 2005-01-01 | |
| dc.date.accessioned | 2026-07-07T05:15:45Z | |
| dc.date.available | 2026-07-07T05:15:45Z | |
| dc.description | In this note we reduce certain proofs in \cite{KS, Karl, AMA} to depth two quasibases from one side only. This minimalistic approach leads to a characterization of Galois extensions for finite projective bialgebroids without the Frobenius extension property: a proper algebra extension is a left $T$-Galois extension for some right finite projective left bialgebroid $T$ over some algebra $R$ if and only if it is of left depth two and left balanced. Exchanging left and right in this statement, we have also a characterization of right Galois extensions for left finite projective right bialgebroids. As a corollary, we obtain insights into split monic Galois mappings and endomorphism ring theorems for depth two extensions. | |
| dc.description | 9 pp, three sections in conference paper | |
| dc.identifier | https://arxiv.org/abs/math/0501008 | |
| dc.identifier | http://arxiv.org/abs/math/0501008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73742 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 (13B05, 20L05, 16S40, 81R50) | |
| dc.title | A note on Galois theory for bialgebroids | |
| dc.type | text |