Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groebner-Shirshov bases for dialgebras   In this paper, we define the Gr\"obner-Shirshov basis for a dialgebra. The
Composition-Diamond lemma for dialgebras is given then. As results, we give
Gr\"obner-Shirshov bases for the universal enveloping algebra of a Leibniz
algebra, the bar extension of a dialgebra, the free product of two dialgebras,
and Clifford dialgebra. We obtain some normal forms for algebras mentioned the
above.

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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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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: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess