no. 3
The Mal'tsev operation on extensions
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 49 (2008) no. 3, pp. 176-195. 
@article{CTGDC_2008__49_3_176_0,
     author = {Bourn, Dominique},
     title = {The {Mal'tsev} operation on extensions},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {176--195},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {49},
     number = {3},
     year = {2008},
     mrnumber = {2449672},
     zbl = {1166.18002},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_2008__49_3_176_0/}
}
TY  - JOUR
AU  - Bourn, Dominique
TI  - The Mal'tsev operation on extensions
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 2008
SP  - 176
EP  - 195
VL  - 49
IS  - 3
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_2008__49_3_176_0/
LA  - en
ID  - CTGDC_2008__49_3_176_0
ER  - 
%0 Journal Article
%A Bourn, Dominique
%T The Mal'tsev operation on extensions
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 2008
%P 176-195
%V 49
%N 3
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_2008__49_3_176_0/
%G en
%F CTGDC_2008__49_3_176_0
Bourn, Dominique. The Mal'tsev operation on extensions. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 49 (2008) no. 3, pp. 176-195. http://www.numdam.org/item/CTGDC_2008__49_3_176_0/

[1] M. Barr, Exact categories, Springer L.N. in Math., 236, 1971, 1-120. | Zbl

[2] J. Benabou, Les distributeurs, Rapport 33, 1973, Inst. de Math. Pure et Appl. Univ. Cath. Louvain la Neuve.

[3] F. Borceux and D. Bourn, Mal'tsev, protomodular, homological and semi-abelian categories, Mathematics and Its Applications 566, Kluwer 2004. | MR | Zbl

[4] F. Borceux, D. Bourn and P.T. Johnstone, Initial normal covers in bi-Heyting toposes, Archivum Mathematicum, 42, 2006, 335-356. | MR | Zbl

[5] F. Borceux and D. Bourn, Split extension classifier and centrality, in Categories in Algebra, Geometry and Math. Physics, Contemporary Math., 431, 2007, 85-14. | MR | Zbl

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

[7] F. Borceux, G. Janelidze and G.M. Kelly, On the representability of actions in a semiabelian category, Th. and Applications of Categories, 14, 2005, 244-286. | MR | Zbl

[8] D. Bourn, The shift functor and the comprehensive factorization for internal groupoids, Cahiers de Top. et Géom. Diff. Catégoriques, 28, 1987, 197-226. | Numdam | MR | Zbl

[9] D. Bourn, Baer sums and fibered aspects of Mal'cev operations, Cahiers de Top. et Géom. Diff. Catégoriques, 40, 1999, 297-316. | Numdam | MR | Zbl

[10] D. Bourn, Baer sums in homological categories, Journal of Algebra, 308, 2007, 414-443. | MR | Zbl

[11] D. Bourn, Commutator theory, action groupoids, and an intrisic Schreier-Mac Lane extension theorem, Advances in Math., in press. | Zbl

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

[13] A. Carboni, M.C. Pedicchio and N. Pirovano, Internal graphs and internal groupoids in Mal'cev categories, CMS Conference Proceedings, 13, 1992, 97-109. | MR | Zbl

[14] G. Janelidze, L. Marki and W. Tholen, Semi-abelian categories, Journal of Pure and Applied Algebra, 168, 2002, 367-386. | MR | Zbl

[15] P.T. Johnstone, Affine categories and naturally Mal'cev categories, Journal of Pure and Applied Algebra, 61, 1989, 251-256. | MR | Zbl

[16] S. Mac Lane, Homology, Springer, 1963. | MR | Zbl

[17] A. I. Mal'cev, On the general theory of algebraic systems, Mat. Sbornik N. S., 35, 1954, 3-20. | MR | Zbl

[18] O. Schreier, Uber die Erweiterungen von Gruppen, I, Monatsh. Math. u. Phys., 34, 1926, 165-180. | JFM | MR