Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors
| dc.creator | Dibaei, Mohammad T. | |
| dc.creator | Nazari, Alireza | |
| dc.date | 2006-01-25 | |
| dc.date | 2006-04-19 | |
| dc.date.accessioned | 2026-07-07T06:59:17Z | |
| dc.date.available | 2026-07-07T06:59:17Z | |
| dc.description | Assume that $R = \bigoplus_{i\in \mathbb{N}_{0}} R_{i}$ is a homogeneous graded Noetherian ring, and that $M$ is a $ \mathbb{Z}$--graded $R$--module, where $ \mathbb{N}_{0}$ (resp. $ \mathbb{Z}$) denote the set all non--negative integers (resp. integers). The set of all homogeneous attached prime ideals of the top non--vanishing local cohomology module of a finitely generated module $M$, $\LH_{R_{+}}^{c}(M)$, with respect to the irrelevant ideal $R_{+}: =\bigoplus_{i\geq 1} R_{i}$ and the set of associated primes of $\LH _{R_{+}}^{i}(M)$ is studied. The asymptotic behavior of $\Hom_{R}(R/R_{+}, \LH _{R_{+}}^{s}(M))$ for $s \geq f(M)$ is discussed, where $f(M)$ is the finiteness dimension of $M$. It is shown that $\LH_{R_{+}}^{h}(M)$ is tame if $\LH_{R_{+}}^{i}(M)$ is Artinian for all $i > h$. | |
| dc.description | 8 pages, presented in "CIMPA School and International Conference on Commutative Algebra", with minor corrections, to appear in Communications in Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0601610 | |
| dc.identifier | http://arxiv.org/abs/math/0601610 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107692 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45, 13D07 | |
| dc.title | Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors | |
| dc.type | text |