Detecting completeness from ext-vanishing
| dc.creator | Frankild, Anders J. | |
| dc.creator | Sather-Wagstaff, Sean | |
| dc.date | 2006-06-28 | |
| dc.date | 2007-03-28 | |
| dc.date.accessioned | 2026-07-07T07:54:04Z | |
| dc.date.available | 2026-07-07T07:54:04Z | |
| dc.description | Motivated by work of C. U. Jensen, R.-O. Buchweitz, and H. Flenner, we prove the following result. Let $R$ be a commutative Noetherian ring and $a$ an ideal in the Jacobson radical of $R$. Let $\hat{R}^a$ be the $a$-adic completion of $R$. If $M$ is a finitely generated $R$-module such that $\ext^i_R(\hat{R}^a,M)=0$ for all $i\neq 0$, then $M$ is $a$-adically complete. | |
| dc.description | 10 pages; proof of Theorem A revised; Theorem B added; to appear in Proceedings of the American Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/0606736 | |
| dc.identifier | http://arxiv.org/abs/math/0606736 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126462 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13B35, 13D07, 13D25, 13D45, 13J10 | |
| dc.title | Detecting completeness from ext-vanishing | |
| dc.type | text |