A test complex for Gorensteinness
| dc.creator | Christensen, Lars Winther | |
| dc.creator | Veliche, Oana | |
| dc.date | 2006-07-14 | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T07:41:16Z | |
| dc.date.available | 2026-07-07T07:41:16Z | |
| dc.description | Let $R$ be a commutative noetherian ring with a dualizing complex. By recent work of Iyengar and Krause, the difference between the category of acyclic complexes and its subcategory of totally acyclic complexes measures how far $R$ is from being Gorenstein. In particular, $R$ is Gorenstein if and only if every acyclic complex is totally acyclic. In this note we exhibit a specific acyclic complex with the property that it is totally acyclic if and only if $R$ is Gorenstein. | |
| dc.description | Final version, 8 pp. To appear in Proc. Amer. Math. Soc. Also available from the authors' homepages at http://www.math.unl.edu/~lchristensen3/ and at http://www.math.utah.edu/~oveliche/ | |
| dc.identifier | https://arxiv.org/abs/math/0607355 | |
| dc.identifier | http://arxiv.org/abs/math/0607355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122044 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10, 13D25 | |
| dc.title | A test complex for Gorensteinness | |
| dc.type | text |