Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution of a System of Linear Equations in an Integral Ring   A modified Gauss's algorithm for solving a system of linear equations in an
integral ring is proposed, as well as an appropriate algorithm for calculating
the elements of the adjoint matrix.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol