Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Brauer $p$-dimension of Henselian discrete valued fields of
  residual characteristic $p > 0$   Let $(K, v)$ be a Henselian discrete valued field with residue field
$\widehat K$ of characteristic $p$, and Brd$_{p}(K)$ be the Brauer
$p$-dimension of $K$. This paper shows that Brd$_{p}(K) \ge n$, if $[\widehat
K\colon \widehat K ^{p}] = p ^{n}$, for some $n \in \mathbb{N}$. It proves that
Brd$_{p}(K) = \infty $ if and only if $[\widehat K\colon \widehat K ^{p}] =
\infty $.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg