Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Long dimodule category and nonlinear equation   We study the Long dimodule category in conection with a nonlinear equation;
we called the D-equation. The category of Long dimodules will play for the
D-equation the same role as the category of Yetter-Drinfel'd (crossed) modules
play for the quantum Yang-Baxter equation. A FRT type theorem is given and new
class of coalgebras are introduced. Several new examples of noncommutative
noncocomutative bialgebras are given.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an