Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Star-regularity and regular completions   In this paper we establish a new characterisation of star-regular categories,
using a property of internal reflexive graphs, which is suggested by a recent
result due to O. Ngaha Ngaha and the first author. We show that this property
is, in a suitable sense, invariant under regular completion of a category in
the sense of A. Carboni and E. M. Vitale. Restricting to pointed categories,
where star-regularity becomes normality in the sense of the second author, this
reveals an unusual behaviour of the exactness property of normality (i.e. the
property that regular epimorphisms are normal epimorphisms) compared to other
closely related exactness properties studied in categorical algebra.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg