Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An alternative approach to the concept of separability in Galois theory   The notion of a separable extension is an important concept in Galois theory.
Traditionally, this concept is introduced using the minimal polynomial and the
formal derivative. In this work, we present an alternative approach to this
classical concept.Based on our approach, we will give new proofs of some basic
results about separable extensions (such as the existence of the separable
closure, Theorem of the primitive element and the transitivity of
separability).

4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int