Geodesic
A characterization of the Huq commutator
Theory and applications of categories, Tome 32 (2017), pp. 1588-1600.

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

We study a categorical commutator, introduced by Huq, defined for a pair of coterminal morphisms. We show that in a normal unital category C with finite colimits, the normal closure of the regular image of the Huq commutator of a pair of subobjects under an arbitrary morphism is the same as the Huq commutator of their respective regular images. Then we use this property to characterize the Huq commutator as the largest commutator satisfying certain properties.
Publié le :
Classification : 18B30, 18A05, 18B35, 18A32
Keywords: Commuting morphisms, Commutator, Normal, Ideal-determined, Unital category 
@article{TAC_2017_32_a45,
     author = {Vaino Tuhafeni Shaumbwa},
     title = {A characterization of the {Huq} commutator},
     journal = {Theory and applications of categories},
     pages = {1588--1600},
     publisher = {mathdoc},
     volume = {32},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a45/}
}
TY  - JOUR
AU  - Vaino Tuhafeni Shaumbwa
TI  - A characterization of the Huq commutator
JO  - Theory and applications of categories
PY  - 2017
SP  - 1588
EP  - 1600
VL  - 32
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2017_32_a45/
LA  - en
ID  - TAC_2017_32_a45
ER  - 
%0 Journal Article
%A Vaino Tuhafeni Shaumbwa
%T A characterization of the Huq commutator
%J Theory and applications of categories
%D 2017
%P 1588-1600
%V 32
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2017_32_a45/
%G en
%F TAC_2017_32_a45
Vaino Tuhafeni Shaumbwa. A characterization of the Huq commutator. Theory and applications of categories, Tome 32 (2017), pp. 1588-1600. http://geodesic.mathdoc.fr/item/TAC_2017_32_a45/