Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lectures on Differential Geometry of Modules and Rings   Generalizing differential geometry of smooth vector bundles formulated in
algebraic terms of the ring of smooth functions, its derivations and the Koszul
connection, one can define differential operators, differential calculus and
connections on modules over arbitrary commutative, graded commutative and
noncommutative rings. For instance, this is the case of quantum theory, SUSY
theory and noncommutative geometry, respectively. The relevant material on this
subject is summarized.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat