Infinite Comatrix Corings
| dc.creator | Kaoutit, L. El | |
| dc.creator | Gomez-Torrecillas, J. | |
| dc.date | 2004-03-15 | |
| dc.date.accessioned | 2026-07-07T05:06:25Z | |
| dc.date.available | 2026-07-07T05:06:25Z | |
| dc.description | We characterize the corings whose category of comodules has a generating set of small projective comodules in terms of the (non commutative) descent theory. In order to extricate the structure of these corings, we give a generalization of the notions of comatrix coring and Galois comodule which avoid finiteness conditions. A sufficient condition for a coring to be isomorphic to an infinite comatrix coring is found. We deduce in particular that any coalgebra over a field and the coring associated to a group-graded ring are isomorphic to adequate infinite comatrix corings. We also characterize when the free module canonically associated to a (not necessarily finite) set of group like elements is Galois. | |
| dc.identifier | https://arxiv.org/abs/math/0403249 | |
| dc.identifier | http://arxiv.org/abs/math/0403249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70465 | |
| dc.subject | Rings and Algebras | |
| dc.title | Infinite Comatrix Corings | |
| dc.type | text |