Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $n$-ary Generalization of BiHom-Lie Algebras and BiHom-Associative
  Algebras   The aim of this paper is to introduce $n$-ary BiHom-algebras, generalizing
BiHom-algebras. We introduce an alternative concept of BiHom-Lie algebra called
BiHom-Lie-Leibniz algebra and study various type of $n$-ary BiHom-Lie algebras
and BiHom-associative algebras. We show that $n$-ary BiHom-Lie-Leibniz algebra
can be represented by BiHom-Lie-Leibniz algebra through fundamental objets.
Moreover, we provide some key constructions and study $n$-ary BiHom-Lie
algebras induced by $(n-1)$-ary BiHom-Lie algebras.

26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat