Symmetry theorems for Ext vanishing
| dc.creator | Jorgensen, Peter | |
| dc.date | 2004-08-10 | |
| dc.date | 2005-04-21 | |
| dc.date.accessioned | 2026-07-07T05:11:10Z | |
| dc.date.available | 2026-07-07T05:11:10Z | |
| dc.description | It was proved by Avramov and Buchweitz that if A is a commutative local complete intersection ring with finitely generated modules M and N, then the Ext groups between M and N vanish from some step if and only if the Ext groups between N and M vanish from some step. This paper shows that the same is true under the weaker conditions that A is Gorenstein and that M and N have finite complete intersection dimension. The result is also proved if A is Gorenstein and has finite Cohen-Macaulay type. Similar results are given for two types of non-commutative rings: Frobenius algebras and complete semi-local algebras. | |
| dc.description | 18 pages. Paper completely rewritten since version 1 contains an error in the proof of Proposition 2.3 | |
| dc.identifier | https://arxiv.org/abs/math/0408127 | |
| dc.identifier | http://arxiv.org/abs/math/0408127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72150 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13D07, 13H10, 16E30, 16E65 | |
| dc.title | Symmetry theorems for Ext vanishing | |
| dc.type | text |