Similarity, Codepth Two Bicomodules and QF Bimodules
| dc.creator | Iglesias, F. Castano | |
| dc.creator | Kadison, Lars | |
| dc.date | 2007-12-28 | |
| dc.date | 2008-08-18 | |
| dc.date.accessioned | 2026-07-07T09:56:47Z | |
| dc.date.available | 2026-07-07T09:56:47Z | |
| dc.description | For any k-coalgebra C it is shown that similar quasi-finite C-comodules have strongly equivalent coendomorphism coalgebras; (the converse is in general not true). As an application we give a general result about codepth two coalgebra homomorphisms. Also a notion of codepth two bicomodule is introduced. The last section applies similarity to an endomorphism ring theorem for quasi-Frobenius (QF) bimodules and then to finite depth ring extensions. For QF extensions, we establish that left and right depth two are equivalent notions as well as a converse endomorphism theorem, and characterize depth three in terms of separability and depth two. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0712.4362 | |
| dc.identifier | http://arxiv.org/abs/0712.4362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167100 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30 | |
| dc.title | Similarity, Codepth Two Bicomodules and QF Bimodules | |
| dc.type | text |