Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cocycle structure of the Alexander $f$-quandles on finite fields   We determine the second, third, and fourth cohomology groups of Alexander
$f$-quandles of the form $\mathbb{F}_q[T,S]/ (T-\omega, S-\beta)$, where
$\mathbb{F}_q$ denotes the finite field of order $q$, $\omega \in
\mathbb{F}_q\setminus \{0,1\}$, and $\beta \in \mathbb{F}_q$

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph