Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable finiteness of endomorphism rings   We combine a combinatorial idea of Benjamin Weiss and some localization
theory of Grothendieck categories to give a short and completely self-contained
proof of the following recent result of Hanfeng Li and Bingbing Liang: Given a
left Noetherian ring $R$ and a sofic group $G$, the group-ring $R[G]$ is stably
finite.

34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin