Projectivity and freeness over comodule algebras
| dc.creator | Skryabin, S. | |
| dc.date | 2006-10-22 | |
| dc.date.accessioned | 2026-07-07T07:29:18Z | |
| dc.date.available | 2026-07-07T07:29:18Z | |
| dc.description | Let H be a Hopf algebra and A an H-simple right H-comodule algebra. It is shown that under certain hypotheses every (H,A)-Hopf module is either projective or free as an A-module and A is either a quasi-Frobenius or a semisimple ring. As an application it is proved that every weakly finite (in particular, every finite dimensional) Hopf algebra is free both as a left and a right module over its finite dimensional right coideal subalgebras, and the latter are Frobenius algebras. Similar results are obtained for H-simple H-module algebras. | |
| dc.description | plain tex, 28pp | |
| dc.identifier | https://arxiv.org/abs/math/0610657 | |
| dc.identifier | http://arxiv.org/abs/math/0610657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118054 | |
| dc.subject | Rings and Algebras | |
| dc.title | Projectivity and freeness over comodule algebras | |
| dc.type | text |