On the Vanishing and the Finiteness of Supports of Generalized Local Cohomology Modules
| dc.creator | Cuong, Nguyen Tu | |
| dc.creator | Van Hoang, Nguyen | |
| dc.date | 2007-05-31 | |
| dc.date.accessioned | 2026-07-07T08:03:42Z | |
| dc.date.available | 2026-07-07T08:03:42Z | |
| dc.description | Let $(R,\fr m)$ be a Noetherian local ring, $I$ an ideal of $R$ and $M, N$ two finitely generated $R$-modules. The first result of this paper is to prove a vanishing theorem for generalized local cohomology modules which says that $H^j_I(M,N)=0$ for all $j>\dim(R)$, provided $M$ is of finite projective dimension. Next, we study and give characterizations for the least and the last integer $r$ such that $\Supp(H^r_I(M,N))$ is infinite. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0705.4553 | |
| dc.identifier | http://arxiv.org/abs/0705.4553 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129673 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13D45; 13C15 | |
| dc.title | On the Vanishing and the Finiteness of Supports of Generalized Local Cohomology Modules | |
| dc.type | text |