Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On vanishing of generalized local cohomology modules   Let $\fa$ denote an ideal of a $d$-dimensional Gorenstein local ring $R$ and
$M$ and $N$ two finitely generated $R$-modules with $\pd M< \infty$. It is
shown that $H^d_{\fa}(M,N)=0$ if and only if $\dim \hat{R}\big/
\fa\hat{R}+\fp>0$ for all
$\fp\in\Ass_{\hat{R}}\hat{M}\cap\Supp_{\hat{R}}\hat{N}$.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph