On the opposite of the category of rings
| dc.creator | Vale, Richard | |
| dc.date | 2008-06-09 | |
| dc.date | 2008-09-18 | |
| dc.date.accessioned | 2026-07-07T10:03:24Z | |
| dc.date.available | 2026-07-07T10:03:24Z | |
| dc.description | We define a faithful contravariant functor NCSpec from the category of rings to the category of ringed spaces, and show that if R is a commutative ring then NCSpec(R) may be viewed as a completion of Spec(R) in an appropriate sense. We then explain how the spaces NCSpec(R) may be glued, and study quasicoherent sheaves on them. As an example, we compute the category of quasicoherent sheaves on a space constructed from a skew-polynomial ring R by an analogue of the Proj construction. | |
| dc.description | 43 pages, added Section 8.1 and some references | |
| dc.identifier | https://arxiv.org/abs/0806.1476 | |
| dc.identifier | http://arxiv.org/abs/0806.1476 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169274 | |
| dc.subject | Rings and Algebras | |
| dc.title | On the opposite of the category of rings | |
| dc.type | text |