Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some identities in algebras obtained by the Cayley-Dickson process   In this paper we will prove that the Hall identity is true in all algebras
obtained by the Cayley-Dickson process and, in some conditions, the converse is
also true.

18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph