Centralizers in action accessible categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 3, article no. 3, 22 p.

Voir la notice de l'article provenant de la source Numdam

@article{CTGDC_2009__50_3_211_0,
     author = {Bourn, Dominique and Janelidze, George},
     title = {Centralizers in action accessible categories},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     eid = {3},
     pages = {211--232},
     publisher = {Andr\'ee CHARLES EHRESMANN},
     volume = {50},
     number = {3},
     year = {2009},
     mrnumber = {2553540},
     zbl = {1187.18011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CTGDC_2009__50_3_211_0/}
}
TY  - JOUR
AU  - Bourn, Dominique
AU  - Janelidze, George
TI  - Centralizers in action accessible categories
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 2009
SP  - 211
EP  - 232
VL  - 50
IS  - 3
PB  - Andrée CHARLES EHRESMANN
UR  - http://geodesic.mathdoc.fr/item/CTGDC_2009__50_3_211_0/
LA  - en
ID  - CTGDC_2009__50_3_211_0
ER  - 
%0 Journal Article
%A Bourn, Dominique
%A Janelidze, George
%T Centralizers in action accessible categories
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 2009
%P 211-232
%V 50
%N 3
%I Andrée CHARLES EHRESMANN
%U http://geodesic.mathdoc.fr/item/CTGDC_2009__50_3_211_0/
%G en
%F CTGDC_2009__50_3_211_0
Bourn, Dominique; Janelidze, George. Centralizers in action accessible categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 3, article  no. 3, 22 p. http://geodesic.mathdoc.fr/item/CTGDC_2009__50_3_211_0/

[1] F. Borceux and D. Bourn, Mal'cev, protomodular, homological and semi-abelian categories, Kluwer, Mathematics and its applications, vol. 566, 2004 | MR | Zbl

[2] F. Borceux and D. Bourn Split extension classifier and centrality, Comtemporary Mathematics, Street Festschrift, vol. 431, 2007, 85-104 | MR | Zbl

[3] F. Borceux, G. Janelidze, and G. M. Kelly, Internal object actions, Commentationes Mathematicae Universitatis Carolinae, 46, 2, 2005, 235-255 | MR | EuDML | Zbl

[4] F. Borceux, G. Janelidze, and G. M. Kelly, On the representability of actions in a semi-abelian category, Theory and Applications of Categories, 14, 2005, 244-286 | MR | EuDML | Zbl

[5] D. Bourn, Intrinsic centrality and associated classifying properties, Journal of Algebra, 256, 2002, 126-145 | MR | Zbl

[6] D. Bourn, Commutator theory in strongly protomodular categories, Theory and Applications of Categories, 13, 2004, 27-40 | MR | EuDML | Zbl

[7] D. Bourn and M. Gran, Centrality and connectors in Maltsev categories, Algebra Universalis, 48, 2002, 309-331 | MR | Zbl

[8] D. Bourn and M. Gran, Centrality and normality in protomodular categories, Theory and Applications of Categories, 9, 2002, 151-165 | MR | EuDML | Zbl

[9] D. Bourn and G. Janelidze, Protomodularity, descent, and semidirect products, Theory and Applications of Categories 4, 1998, 37-46 | MR | EuDML | Zbl

[10] M. Gran, Internal categories in Mal'cev categories, J. Pure Appl. Algebra, 143, 1999, 221-229 | MR | Zbl

[11] S. A. Huq, Commutator, nilpotency, and solvability in categories, Quart. J. Math. Oxford 2(19), 1968, 363-389 | MR | Zbl

[12] S. A. Huq, Upper central series in a category, J. Reine Angew Math., 252, 1972, 209-214 | MR | EuDML | Zbl

[13] G. Janelidze, L. Márki and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra, 168, 2002, 367-386 | MR | Zbl