Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sufficient condition for F-purity   It is well known that nice conditions on the canonical module of a local ring
have a strong impact in the study of strong F-regularity and F-purity. In this
note, we prove that if (R,m) is an equidimensional and S_2 local ring that
admits a canonical ideal I such that R/I is F-pure, then R is F-pure. We also
provide examples to show that not all Cohen-Macaulay F-pure local rings satisfy
this property.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: econ
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph