Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On algebraic cellular automata   We investigate some general properties of algebraic cellular automata, i.e.,
cellular automata over groups whose alphabets are affine algebraic sets and
which are locally defined by regular maps. When the ground field is assumed to
be uncountable and algebraically closed, we prove that such cellular automata
always have a closed image with respect to the prodiscrete topology on the
space of configurations and that they are reversible as soon as they are
bijective.

11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat