Adjoint functors and triangulated categories
| dc.creator | Grime, Matthew | |
| dc.date | 2006-01-24 | |
| dc.date | 2007-08-20 | |
| dc.date.accessioned | 2026-07-07T08:24:10Z | |
| dc.date.available | 2026-07-07T08:24:10Z | |
| dc.description | We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the cases of homotopy and stable module categories. These categories naturally fit into a framework of relative derived categories, and once we prove that there are decent resolutions of complexes, we are able to prove many familiar results in homological algebra. | |
| dc.description | 20 pages. Added subsection on Transfer in the homotopy category, corrected typos (May 2006). Expanded to 20 pages, minor corrections, accepted for publication in Comm.in Alg. (August 2007) | |
| dc.identifier | https://arxiv.org/abs/math/0601575 | |
| dc.identifier | http://arxiv.org/abs/math/0601575 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136253 | |
| dc.subject | Category Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 18G25 | |
| dc.title | Adjoint functors and triangulated categories | |
| dc.type | text |