Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compatible ideals in Gorenstein rings   Suppose $R$ is a $\mathbb{Q}$-Gorenstein $F$-finite and $F$-pure ring of
prime characteristic $p>0$. We show that if $I\subseteq R$ is a compatible
ideal (with all $p^{-e}$-linear maps) then there exists a module finite
extension $R\to S$ such that the ideal $I$ is the sum of images of all
$R$-linear maps $S\to R$.

3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat