Centralizers in action accessible categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 3, article no. 3, 22 p. 
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     pages = {211--232},
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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://archive.numdam.org/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 | EuDML | MR | 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 | EuDML | MR | 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 | EuDML | MR | 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 | EuDML | MR | Zbl

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

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