Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: n-ary Lie and Associative Algebras   With the help of the multigraded Nijenhuis-- Richardson bracket and the
multigraded Gerstenhaber bracket from [7] for every $n\ge 2$ we define $n$-ary
associative algebras and their modules and also $n$-ary Lie algebras and their
modules, and we give the relevant formulas for Hochschild and Chevalley
cohomogy.

25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci