Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composition-Diamond Lemma for Non-associative Algebras over a
  Commutative Algebra   We establish the Composition-Diamond lemma for non-associative algebras over
a free commutative algebra. As an application, we prove that every countably
generated non-associative algebra over an arbitrary commutative algebra $K$ can
be embedded into a two-generated non-associative algebra over $K$.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: q-fin