Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideals of regular functions of a quaternionic variable   In this paper we prove that, for any $n\in \mathbb N$, the ideal generated by
$n$ slice regular functions $f_1,\ldots,f_n$ having no common zeros concides
with the entire ring of slice regular functions. The proof required the study
of the non-commutative syzygies of a vector of regular functions, that manifest
a different character when compared with their complex counterparts.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph