Generator coalgebras are not necessarily quasi-coFrobenius
| dc.creator | Haim, Mariana | |
| dc.creator | Torrecillas, Blas | |
| dc.date | 2008-09-25 | |
| dc.date | 2009-03-17 | |
| dc.date.accessioned | 2026-07-07T12:52:34Z | |
| dc.date.available | 2026-07-07T12:52:34Z | |
| dc.description | We study the problem of whether a coalgebra that generates its category of left (right) comodules is left (right) quasi-coFrobenius or not. We prove it does not hold in general, by giving a method of constructing counterexamples. This gives a negative answer to a question stated in \cite{kn:coalgen}. We also prove it is true for monomial pointed coalgebras and we characterize the quivers $Q$ such that $\Bbbk Q$ admits a monomial subcoalgebra that is left (right) quasi-coFrobenius. | |
| dc.identifier | https://arxiv.org/abs/0809.4410 | |
| dc.identifier | http://arxiv.org/abs/0809.4410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223337 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.title | Generator coalgebras are not necessarily quasi-coFrobenius | |
| dc.type | text |