Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On On_p   Generalizing John Conway's construction of the Field On_2, we give the
"minimal" definitions of addition and multiplication that turn the ordinals
into a Field of characteristic p, for any prime p. We then analyze the
structure of the resulting Field, which we will call On_p.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg