Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding dendriform dialgebra into its universal enveloping Rota-Baxter
  algebra   In this paper, by using Gr\"obner-Shirshov bases for Rota-Baxter algebras, we
prove that every dendriform dialgebra over a field of characteristic 0 can be
embedded into its universal enveloping Rota-Baxter algebra of weight 0.

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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th