Generalized local cohomology and the Intersection Theorem
| dc.creator | Dibaei, Mohammad T. | |
| dc.creator | Yassemi, Siamak | |
| dc.date | 2004-02-19 | |
| dc.date.accessioned | 2026-07-07T05:05:35Z | |
| dc.date.available | 2026-07-07T05:05:35Z | |
| dc.description | Let $R$ be commutative Noetherian ring and let $\fa$ be an ideal of $R$. For complexes $X$ and $Y$ of $R$--modules we investigate the invariant $\inf{\mathbf R}Γ_{\fa}({\mathbf R}\Hom_R(X,Y))$ in certain cases. It is shown that, for bounded complexes $X$ and $Y$ with finite homology, $\dim Y\le\dim{\mathbf R}\Hom_R(X,Y)\le\pd X+\dim(X\otimes^{\mathbf L}_RY)+\sup X$ which strengthen the Intersection Theorem. Here $\inf X$ and $\sup X$ denote the homological infimum, and supremum of the complex $X$, respectively. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402310 | |
| dc.identifier | http://arxiv.org/abs/math/0402310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70217 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45, 13D22, 13D25, 13D05 | |
| dc.title | Generalized local cohomology and the Intersection Theorem | |
| dc.type | text |