Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monomorphisms between Cayley-Dickson Algebras   In this paper we study the algebra monomorphisms from A_m =R^(2^m) into
A_n=R^(2^n) for 0<m<n where the A_k 's are the Cayley- Dickson algebras over
the real numbers. We show that for m>2 there are many different types of
monomorphisms and we describe them in terms of the zero divisors in A_n.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph