Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Universal algebraic approach to rack coverings   We study rack and quandle coverings from a universal algebraic viewpoint and
we show how they can be understood using the notion of strongly abelian
congruences. We provide an abstract characterization of several particular
types of covering extensions, such as central and abelian ones. We give a new
characterization of simply connected quandles and we show that the categorical
notion of normal extension coincides with the notion of central covering. We
answer several questions from the papers of Clark, Saito and Vendramin
\cite{CS} and \cite{CSV} about identities preserved by quandle coverings.

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
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph