Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Indecomposability for differential algebraic groups   We study a notion of indecomposability in differential algebraic groups which
is inspired by both model theory and differential algebra. After establishing
some basic definitions and results, we prove an indecomposability theorem for
differential algebraic groups. The theorem establishes a sufficient criterion
for the subgroup of a differential algebraic group generated by an infinite
family of subvarieties to be a differential algebraic subgroup. This theorem is
used for various definability results. For instance, we show every
noncommutative almost simple differential algebraic group is perfect, solving a
problem of Cassidy and Singer. We also establish numerous bounds on Kolchin
polynomials, some of which seem to be of a nature not previously considered in
differential algebraic geometry; in particular, we establish bounds on the
Kolchin polynomial of the generators of the differential field of definition of
a differential algebraic variety.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci