Cohomological dimension of complexes
| dc.creator | Dibaei, Mohammad T. | |
| dc.creator | Yassemi, Siamak | |
| dc.date | 2003-05-08 | |
| dc.date.accessioned | 2026-07-07T04:57:51Z | |
| dc.date.available | 2026-07-07T04:57:51Z | |
| dc.description | In the derived category of the category of modules over a commutative Noetherian ring $R$, we define, for an ideal $\fa$ of $R$, two different types of cohomological dimensions of a complex $X$ in a certain subcategory of the derived category, namely $\cd(\fa, X)=\sup\{\cd(\fa, \H_{\ell}(X))-\ell|\ell\in\Bbb Z\}$ and $-\inf{\mathbf R}\G_{\fa}(X)$, where $\cd(\fa, M)=\sup\{\ell\in\Bbb Z|\H^{\ell}_{\fa}(M)\neq 0\}$ for an $R$--module $M$. In this paper, it is shown, among other things, that, for any complex $X$ bounded to the left, $-\inf {\mathbf R}\G_{\fa}(X)\le\cd(\fa, X)$ and equality holds if indeed $\H(X)$ is finitely generated. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305119 | |
| dc.identifier | http://arxiv.org/abs/math/0305119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67406 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 | |
| dc.title | Cohomological dimension of complexes | |
| dc.type | text |