Quasi-Frobenius functors. Applications
| dc.creator | Iglesias, F. Castano | |
| dc.creator | Nastasescu, C. | |
| dc.creator | Vercruysse, J. | |
| dc.date | 2006-12-21 | |
| dc.date | 2008-09-03 | |
| dc.date.accessioned | 2026-07-07T10:00:04Z | |
| dc.date.available | 2026-07-07T10:00:04Z | |
| dc.description | We investigate functors between abelian categories having a left adjoint and a right adjoint that are \emph{similar} (these functors are called \emph{quasi-Frobenius functors}). We introduce the notion of a \emph{quasi-Frobenius bimodule} and give a characterization of these bimodules in terms of quasi-Frobenius functors. Some applications to corings and graded rings are presented. In particular, the concept of quasi-Frobenius homomorphism of corings is introduced. Finally, a version of the endomorphism ring Theorem for quasi-Frobenius extensions in terms of corings is obtained. | |
| dc.description | 20 pages, major changes in v2 | |
| dc.identifier | https://arxiv.org/abs/math/0612662 | |
| dc.identifier | http://arxiv.org/abs/math/0612662 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168238 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30, 16L60 | |
| dc.title | Quasi-Frobenius functors. Applications | |
| dc.type | text |