Geodesic
Weighted normal commutator as the Huq commutator in points
Theory and applications of categories, Tome 35 (2020), pp. 1530-1545.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We show that the weighted normal commutator is obtained by applying the kernel functor to the Huq commutator of certain morphisms in a category of points over a fixed object. In addition, we compare the local representation (that is, an equivalence relation considered as a subobject in a category of points over a fixed object) of the Smith commutator of a pair of equivalence relations and the Huq commutator of the corresponding local representations, showing that they coincide in a normal Mal'tsev category with finite colimits.
Publié le :
Classification : 18E08, 18E13, 18A30, 18A20
Keywords: Weighted commutators, Huq commutator, Smith commutator, points 
@article{TAC_2020_35_a38,
     author = {Vaino Tuhafeni Shaumbwa},
     title = {Weighted normal commutator as the {Huq} commutator in points},
     journal = {Theory and applications of categories},
     pages = {1530--1545},
     publisher = {mathdoc},
     volume = {35},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a38/}
}
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Vaino Tuhafeni Shaumbwa. Weighted normal commutator as the Huq commutator in points. Theory and applications of categories, Tome 35 (2020), pp. 1530-1545. http://geodesic.mathdoc.fr/item/TAC_2020_35_a38/