Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A syntactical and categorical analysis for Varieties with Right
  Existentially Defined Factor Congruences   In this paper we prove that in the context of varieties with Right
Existentially Definable Factor Congruences, definability of the property "e and
f are complementary central elements", stability by complements and
coextensivity of its respective algebraic category, are equivalent.

21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph