Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The category of F-modules has finite global dimension   Let R be a regular ring of characteristic p. Hochster showed that the
category of Lyubeznik's F-modules has enough injectives, so that every F-module
has an injective resolution in this category. We show that under mild
conditions on R, for example when R is essentially of finite type over an
F-finite regular local ring, the category of F-modules has finite global
dimension d+1 where d=dimR. We also give examples to show that for F-finite
F-modules, $\Ext_{F_R}^1(M,N)$ need not be finite.

23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess