Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generators of modules in tropical geometry   A module $M$ over the tropical semifield $T$ is analogous to a module over a
field. We assume that $M$ is straight reflexive, and define the dimension of
$M$ to the number of elements of a basis. We study the dimension of a straight
reflexive submodule $N \subset M$. Also we find an enough condition to the
reflexivity. This result has an application to polytopes in a tropical
projective space, and also to a Riemann-Roch theorem for tropical curves.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom