Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher derived brackets, strong homotopy associative algebras and Loday
  pairs   We give a quick method of constructing strong homotopy associative algebra,
namely, the higher derived product construction. This method is associative
analogue of classical higher derived bracket construction in the category of
Loday algebras. We introduce a new type of algebra "Loday pair" which is
noncommutative analogue of classical Leibniz pair. We study strong homotopy
Loday pairs and the higher derived brackets on the Loday pairs.

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The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin