Cofrobenius Corings and adjoint Functors
| dc.creator | Iovanov, M. | |
| dc.creator | Vercruysse, J. | |
| dc.date | 2006-10-27 | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2026-07-07T08:43:01Z | |
| dc.date.available | 2026-07-07T08:43:01Z | |
| dc.description | We study co-Frobenius and more generally Quasi-co-Frobenius corings over arbitrary baserings and over PF baserings in particular. We generalize some results about (Quasi-) co-Frobenius coalgebras to the case of non-commutative base rings and give several new characterisations for co-Frobenius and Quasi-co-Frobenius corings, some of them are new even in the coalgebra situation. We construct Morita contexts to study Frobenius properies of corings and a second kind of Morita contexts to study adjoint pairs. Comparing both Morita contexts, we obtain our main result that characterises (Quasi-) co-Frobenius corings in terms of a pair adjoint functors $(F,G)$ such that $(G,F)$ is locally (Quasi-) adjoint in a sense defined in this note. | |
| dc.description | Strongly revised version: major changes in section 3, 5.2 and 5.3, minor changes elsewhere. Change of title (on request of the referee) | |
| dc.identifier | https://arxiv.org/abs/math/0610853 | |
| dc.identifier | http://arxiv.org/abs/math/0610853 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142168 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Cofrobenius Corings and adjoint Functors | |
| dc.type | text |