Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Describtion of normal basis of boundary algebras and factor languages of
  small growth   Let $A$ be an algebra with fixed set of generators $a_1,\dots,a_s$. $V_A(n)$
be dimension of the space, generated by worlds of length $\le n$ over $a_i$,
$T_A(n)=V_A(n)-V_A(n-1)$. If $T_A(n)<\mbox{Const}$, algebra $A$ is a {\it
boundary algebra}. We describe a normal basis of boundary algebras, i.e.
algebras with small growth.
  Let $\cal L$ be a factor language over alphabet $\cal A$. {\it Growth
function} $T_{\cal L}(n)$ is number of subwords $\cal L$ of degree $n$. We
describe factor languages of small growth such that $T_{\cal L}(n)\le
n+\mbox{const}$.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs