Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introduction into Geometry over Division Ring   Theory of representations of F-algebra is a natural development of the theory
of F-algebra. Exploring of morphisms of the representation leads to the
concepts of generating set and basis of representation. In the book I
considered the notion of tower of representations of F_i-algebras, i=1, ..., n,
as the set of coordinated representations of F_i-algebras.
  I explore the geometry of affine space as example of tower of
representations. Exploration of curvilinear coordinates allows us to see how
look at the main structures of the manifold with affine connection. I explore
Euclidean space over division ring.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol