Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On NI and NJ skew PBW extensions   We establish necessary or sufficient conditions to guarantee that skew
Poincar\'e-Birkhoff-Witt extensions are NI or NJ rings. Our results extend
those corresponding for skew polynomial rings and establish similar properties
for other families of noncommutative rings such as universal enveloping
algebras and examples of differential operators.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg