On a conjecture of Auslander and Reiten
| dc.creator | Huneke, Craig | |
| dc.creator | Leuschke, Graham | |
| dc.date | 2003-04-30 | |
| dc.date | 2003-07-16 | |
| dc.date.accessioned | 2026-07-07T04:57:38Z | |
| dc.date.available | 2026-07-07T04:57:38Z | |
| dc.description | In studying Nakayama's 1958 conjecture on rings of infinite dominant dimension, Auslander and Reiten proposed the following generalization: Let Lambda be an Artin algebra and M a Lambda-generator such that Ext^i_Lambda(M,M)=0 for all i \geq 1; then M is projective. This conjecture makes sense for any ring. We establish Auslander and Reiten's conjecture for excellent Cohen--Macaulay normal domains containing the rational numbers, and slightly more generally. | |
| dc.description | 12 pages, minor changes, this version to appear | |
| dc.identifier | https://arxiv.org/abs/math/0305001 | |
| dc.identifier | http://arxiv.org/abs/math/0305001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67325 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13D07; 16G50; 16E30 | |
| dc.title | On a conjecture of Auslander and Reiten | |
| dc.type | text |