Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Roth's solvability criteria for the matrix equations ${AX-\widehat
  XB=C}$ and ${X-A\widehat{X}B=C}$ over the skew field of quaternions with an
  involutive automorphism $q\mapsto \hat q$
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat