Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithms for the solution of systems of linear equations in
  commutative ring   Solution methods for linear equation systems in a commutative ring are
discussed. Four methods are compared, in the setting of several different
rings: Dodgson's method [1], Bareiss's method [2] and two methods of the author
- method by forward and back-up procedures [3] and a one-pass method [4]. We
show that for the number of coefficient operations, or for the number of
operations in the finite rings, or for modular computation in the polynomial
rings the one-pass method [4] is the best. The method of forward and back-up
procedures [3] is the best for the polynomial rings when we make use of
classical algorithms for polynomial operations.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th