@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}, volume = {50}, year = {2009}, pages = {211-232}, mrnumber = {2553540}, zbl = {1187.18011}, language = {en}, url = {http://dml.mathdoc.fr/item/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) pp. 211-232. http://gdmltest.u-ga.fr/item/CTGDC_2009__50_3_211_0/
[1] Mal'cev, protomodular, homological and semi-abelian categories, Kluwer, Mathematics and its applications, vol. 566, 2004 | MR 2044291 | Zbl 1061.18001
and ,[2] Split extension classifier and centrality, Comtemporary Mathematics, Street Festschrift, vol. 431, 2007, 85-104 | MR 2342823 | Zbl 1133.18002
and[3] Internal object actions, Commentationes Mathematicae Universitatis Carolinae, 46, 2, 2005, 235-255 | MR 2176890 | Zbl 1121.18004
, , and ,[4] On the representability of actions in a semi-abelian category, Theory and Applications of Categories, 14, 2005, 244-286 | MR 2182676 | Zbl 1103.18006
, , and ,[5] Intrinsic centrality and associated classifying properties, Journal of Algebra, 256, 2002, 126-145 | MR 1936883 | Zbl 1015.18003
,[6] Commutator theory in strongly protomodular categories, Theory and Applications of Categories, 13, 2004, 27-40 | MR 2116321 | Zbl 1068.18006
,[7] Centrality and connectors in Maltsev categories, Algebra Universalis, 48, 2002, 309-331 | MR 1954778 | Zbl 1061.18006
and ,[8] Centrality and normality in protomodular categories, Theory and Applications of Categories, 9, 2002, 151-165 | MR 1897814 | Zbl 1004.18004
and ,[9] Protomodularity, descent, and semidirect products, Theory and Applications of Categories 4, 1998, 37-46 | MR 1615341 | Zbl 0890.18003
and ,[10] Internal categories in Mal'cev categories, J. Pure Appl. Algebra, 143, 1999, 221-229 | MR 1731043 | Zbl 0937.18006
,[11] Commutator, nilpotency, and solvability in categories, Quart. J. Math. Oxford 2(19), 1968, 363-389 | MR 237595 | Zbl 0165.03301
,[12] Upper central series in a category, J. Reine Angew Math., 252, 1972, 209-214 | MR 294440 | Zbl 0235.18004
,[13] Semi-abelian categories, J. Pure Appl. Algebra, 168, 2002, 367-386 | MR 1887164 | Zbl 0993.18008
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