Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On unit stable range one matrices   We characterize the unit stable range one 2x2 and 3x3 matrices over
commutative rings. In particular, we characterize the 2x2 matrices which
satisfy the Goodearl-Menal condition. For 2x2 integral matrices we show that
the stable range one and the unit stable range one properties are equivalent,
and, that the only matrix which satisfies the Goodearl-Menal condition is the
zero matrix.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg