Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonstandard methods for bounds in differential polynomial rings   Motivated by the problem of the existence of bounds on degrees and orders in
checking primality of radical (partial) differential ideals, the nonstandard
methods of van den Dries and Schmidt ["Bounds in the theory of polynomial rings
over fields. A nonstandard approach.", Inventionnes Mathematicae, 76:77--91,
1984] are here extended to differential polynomial rings over differential
fields. Among the standard consequences of this work are: a partial answer to
the primality problem, the equivalence of this problem with several others
related to the Ritt problem, and the existence of bounds for characteristic
sets of minimal prime differential ideals and for the differential
Nullstellensatz.

9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph