Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On non-monogenity of certain number fields defined by trinomials
  $x^4+ax^2+b$   We consider number fields $K$ generated by a root of an irreducible trinomial
$x^4+ax^2+b\in \Bbb Z[x]$ and characterize when a prime $p$ is a common index
divisor of $K$. The existence of a common index divisor $p$ implies that $K$ is
not monogenic. We illustrate our statements with a series of examples.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph