Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The noetherian properties of the rings of differential operators on
  central 2-arrangements   Whereas Holm proved that the ring of differential operators on a generic
hyperplane arrangement is finitely generated as an algebra, the problem of its
Noetherian properties is still open. In this article, after proving that the
ring of differential operators on a central arrangement is right Noetherian if
and only if it is left Noetherian, we prove that the ring of differential
operators on a central 2-arrangement is Noetherian. In addition, we prove that
its graded ring associated to the order filtration is not Noetherian when the
number of the consistuent hyperplanes is greater than 1.

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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
18
The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol