Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear growth for semigroups which are disjoint unions of finitely many
  copies of the free monogenic semigroup   We show that every semigroup which is a finite disjoint union of copies of
the free monogenic semigroup (natural numbers under addition) has linear
growth. This implies that the the corresponding semigroup algebra is a PI
algebra.

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
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con