Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Associated primes of local cohomology modules of weakly Laskerian
  modules   The notion of weakly Laskerian modules was introduced recently by the
authors. Let $R$ be a commutative Noetherian ring with identity, $\fa$ an ideal
of $R$, and $M$ a weakly Laskerian module. It is shown that if $\fa$ is
principal, then the set of associated primes of the local cohomology module
$H_{\fa}^i(M)$ is finite for all $i\geq 0$. We also prove that when $R$ is
local, then $\Ass_R(H_{\fa}^i(M))$ is finite for all $i\geq 0$ in the following
cases: (1) $\dim R\leq 3$, (2) $\dim R/\fa\leq 1$, (3) $M$ is Cohen-Macaulay
and for any ideal $\fb$, with $l=\grade(\fb,M)$,
$\Hom_R(R/\fb,H_{\fb}^{l+1}(M))$ is weakly Laskerian.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph