Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gr\"obner-Shirshov Bases for Commutative Algebras with Multiple
  Operators and Free Commutative Rota-Baxter Algebras   In this paper, the Composition-Diamond lemma for commutative algebras with
multiple operators is established. As applications, the Gr\"obner-Shirshov
bases and linear bases of free commutative Rota-Baxter algebra, free
commutative $\lambda$-differential algebra and free commutative
$\lambda$-differential Rota-Baxter algebra are given, respectively.
Consequently, these three free algebras are constructed directly by commutative
$\Omega$-words.

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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: stat