Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted forms of commutative monoid structures on affine spaces   In this paper, we study affine commutative algebraic monoid structures on
affine spaces over an arbitrary field of characteristic zero. We obtain full
classification of such structures on $\mathbb{A}_K^2$ and $\mathbb{A}_K^3$ and
describe some generalizations on $\mathbb{A}_K^n$ for any dimension $n$.

33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio