Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on affine representable algebras   We consider affine representable algebras, that is, finitely generated
algebras over a field that can be embedded into some matrix algebra over a
commutative algebra. We show that this algebra can in fact be chosen to be a
polynomial algebra. We also prove a refined version of a theorem of V.T. Markov
stating that the Gelfand-Kirillov dimension of any affine representable algebra
is an integer.

3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
1
The categories of this paper are: cs
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci