Extensions of a Dualizing Complex by its Ring: Commutative Versions of a Conjecture of Tachikawa
| dc.creator | Avramov, L. L. | |
| dc.creator | Buchweitz, R. -O. | |
| dc.creator | Sega, L. M. | |
| dc.date | 2002-08-22 | |
| dc.date | 2003-03-16 | |
| dc.date.accessioned | 2026-07-07T04:50:21Z | |
| dc.date.available | 2026-07-07T04:50:21Z | |
| dc.description | Let $(R,\fm,k)$ be a commutative noetherian local ring with dualizing complex $\dua R$, normalized by $\Ext^{\depth(R)}_R(k,\dua R)\cong k$. Partly motivated by a long standing conjecture of Tachikawa on (not necessarily commutative) $k$-algebras of finite rank, we conjecture that if $\Ext^n_R(\dua R,R)=0$ for all $n>0$, then $R$ is Gorenstein, and prove this in several significant cases. | |
| dc.description | 18 pages, to appear in Journal of Pure and Appl. Algebra. Following the comments of the referee, we removed the old section 6 and added a new section 1 | |
| dc.identifier | https://arxiv.org/abs/math/0208172 | |
| dc.identifier | http://arxiv.org/abs/math/0208172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64759 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D07;13D25;13H10 | |
| dc.title | Extensions of a Dualizing Complex by its Ring: Commutative Versions of a Conjecture of Tachikawa | |
| dc.type | text |