Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential polynomial rings over rings satisfying a polynomial
  identity   Let $R$ be a ring satisfying a polynomial identity and let $\delta$ be a
derivation of $R$. We show that if $N$ is the nil radical of $R$ then
$\delta(N)\subseteq N$ and the Jacobson radical of $R[x;\delta]$ is equal to
$N[x;\delta]$. As a consequence, we have that if $R$ is locally nilpotent then
$R[x;\delta]$ is locally nilpotent. This affirmatively answers a question of
Smoktunowicz and Ziembowski.

33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph