Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on Vector Space Generated by the Multiplicative Commutators of a
  Division Ring   Let D be a division ring with centre F. Let T(D) be the vector space over F
generated by all multiplicative commutators in D. In [1], authors have
conjectured that every division ring is generated as a vector space over its
centre by all of its multiplicative commutators. In this note it is shown that
if D is centrally finite, then the conjecture holds.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org