Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the matlis duals of local cohomology modules   Let $(R,\mathfrak{m})$ be a Noetherian regular local ring containing a field
of characteristic $p>0$ and $I$ a nonzero ideal of $R$. In this short note, we
prove that if $\operatorname{H}^i_I(R)\neq 0$, then $
\operatorname{Supp}_R(D(\operatorname{H}^i_{I}(R)))=\operatorname{Spec}(R)$.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex