Extension functors of local cohomology modules
| dc.creator | Aghapournahr, M. | |
| dc.creator | Taherizadeh, A. J. | |
| dc.creator | Vahidi, A. | |
| dc.date | 2009-03-12 | |
| dc.date.accessioned | 2026-07-07T12:51:50Z | |
| dc.date.available | 2026-07-07T12:51:50Z | |
| dc.description | Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, and $X$ an $R$--module. In this paper, for fixed integers $s, t$ and a finite $\fa$--torsion $R$--module $N$, we first study the membership of $\Ext^{s+t}_{R}(N, X)$ and $\Ext^{s}_{R}(N, H^{t}_{\fa}(X))$ in Serre subcategories of the category of $R$--modules. Then we present some conditions which ensure the existence of an isomorphism between them. Finally, we introduce the concept of Serre cofiniteness as a generalization of cofiniteness and study this property for certain local cohomology modules. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0903.2093 | |
| dc.identifier | http://arxiv.org/abs/0903.2093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223118 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D45; 13D07 | |
| dc.title | Extension functors of local cohomology modules | |
| dc.type | text |