Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative hypergroup of order five   We prove that all hypergroups of order four are commutative and that there
exists a non-comutative hypergroup of order five. These facts imply that the
minimum order of non-commutative hypergroups is five even though the minimum
order of non-commutative groups is six.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th