On the set of associated primes of a local cohomology module
| dc.creator | Hellus, Michael | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T07:17:59Z | |
| dc.date.available | 2026-07-07T07:17:59Z | |
| dc.description | Assume $R$ is a local Cohen-Macaulay ring. It is shown that $\Ass_R (H^l_I(R))$ is finite for any ideal $I$ and any integer $l$ provided $\Ass_R (H^2_{(x,y)}(R))$ is finite for any $x,y\in R$ and $\Ass_R (H^3_{(x_1,x_2,y)}(R))$ is finite for any $y\in R$ and any regular sequence $x_1,x_2\in R$. Furthermore it is shown that $\Ass_R (H^l_I(R))$ is always finite if $\dim (R)\leq 3$. The same statement is even true for $\dim (R)\leq 4$ if $R$ is almost factorial. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607075 | |
| dc.identifier | http://arxiv.org/abs/math/0607075 | |
| dc.identifier | J. Algebra 237, (2001) 406-419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114139 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 | |
| dc.title | On the set of associated primes of a local cohomology module | |
| dc.type | text |