Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classifying subcategories of modules over a commutative noetherian ring   Let R be a quotient ring of a commutative coherent regular ring by a finitely
generated ideal. Hovey gave a bijection between the set of coherent
subcategories of the category of finitely presented R-modules and the set of
thick subcategories of the derived category of perfect R-complexes. Using this
isomorphism, he proved that every coherent subcategory of finitely presented
R-modules is a Serre subcategory. In this paper, it is proved that this holds
whenever R is a commutative noetherian ring. This paper also yields a module
version of the bijection between the set of localizing subcategories of the
derived category of R-modules and the set of subsets of Spec R which was given
by Neeman.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int