Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the set of associated primes of a local cohomology module   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.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat