Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted commutators in semi-abelian categories   We introduce new notions of weighted centrality and weighted commutators
corresponding to each other in the same way as centrality of congruences and
commutators do in the Smith commutator theory. Both the Huq commutator of
subobjects and Pedicchio's categorical generalization of Smith commutator are
special cases of our weighted commutators; in fact we obtain them by taking the
smallest and the largest weight respectively. At the end of the paper we
briefly consider the universal-algebraic context in connection with an older
work of the third author on the ideal theory version of the commutator theory.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn