Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A differential Chevalley theorem   We prove a differential analog of a theorem of Chevalley on extending
homomorphisms for rings with commuting derivations, generalizing a theorem of
Kac. As a corollary, we establish that, under suitable hypotheses, the image of
a differential scheme under a finite morphism is a constructible set. We also
obtain a new algebraic characterization of differentially closed fields. We
show that similar results hold for differentially closed fields that are
saturated, in the sense of model theory. In characteristic p > 0, we obtain
related results and establish a differential Nullstellensatz. Analogs of these
theorems for difference fields are also considered.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph