Independence of the total reflexivity conditions for modules
| dc.creator | Jorgensen, David | |
| dc.creator | Sega, Liana | |
| dc.date | 2004-10-11 | |
| dc.date | 2004-10-20 | |
| dc.date.accessioned | 2026-07-07T05:13:08Z | |
| dc.date.available | 2026-07-07T05:13:08Z | |
| dc.description | We show that the conditions defining total reflexivity for modules are independent. In particular, we construct a commutative Noetherian local ring $R$ and a reflexive $R$-module $M$ such that $\Ext^i_R(M,R)=0$ for all $i>0$, but $\Ext^i_R(M^*,R)\ne 0$ for all $i>0$. | |
| dc.description | In the previous version, Proposition 2.1 is incorrect, as stated. We added the assumption "Artinian" in the statement | |
| dc.identifier | https://arxiv.org/abs/math/0410257 | |
| dc.identifier | http://arxiv.org/abs/math/0410257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72837 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D07;13D02;13D25 | |
| dc.title | Independence of the total reflexivity conditions for modules | |
| dc.type | text |