Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On cyclic essential extensions of simple modules over differential
  operator rings   In this paper we discuss under which conditions cyclic essential extensions
of simple modules over a differential operator ring R[z;d] are Artinian. In
particular, we study the case when R is either d-simple or d-primitive.
Furthermore, we obtain important results when R is an affine algebra of Kull
dimension 2. As an application we characterize the differential operator rings
C[x,y][z;d] for which cyclic essential extensions of simple modules are
Artinian.

9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph