Depth Two and the Galois Coring
| dc.creator | Kadison, Lars | |
| dc.date | 2004-08-11 | |
| dc.date.accessioned | 2026-07-07T05:11:13Z | |
| dc.date.available | 2026-07-07T05:11:13Z | |
| dc.description | We study the cyclic module ${}_SR$ for a ring extension $A \| B$ with centralizer $R$ and bimodule endomorphism ring $S = End {}_BA_B$. We show that if $A \| B$ is an H-separable Hopf subalgebra, then $B$ is a normal Hopf subalgebra of $A$. We observe from math.RA/0107064 and math.RA/0108067 depth two in the role of noncommutative normality (as in field theory) in a depth two separable Frobenius characterization of irreducible semisimple-Hopf-Galois extensions. We prove that a depth two extension has a Galois $A$-coring structure on $A ø_R T$ where $T$ is the right $R$-bialgebroid dual to $S$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408155 | |
| dc.identifier | http://arxiv.org/abs/math/0408155 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72166 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16A24 | |
| dc.title | Depth Two and the Galois Coring | |
| dc.type | text |