Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composition-Diamond lemma for $\lambda$-differential associative
  algebras with multiple operators   In this paper, we establish the Composition-Diamond lemma for
$\lambda$-differential associative algebras over a field $K $ with multiple
operators. As applications, we obtain Gr\"{o}bner-Shirshov bases of free
$\lambda$-differential Rota-Baxter algebras. In particular, linear bases of
free $\lambda$-differential Rota-Baxter algebras are obtained and consequently,
the free $\lambda$-differential Rota-Baxter algebras are constructed by words.

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The categories of this paper are: q-fin
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th