References
- F. Borceux and D. Bourn, Mal’cev, Protomodular, Homological and Semi-Abelian Categories, Mathematics and Its Applications, Vol. 566, Kluwer, Dordrecht, 2004.
- D. Bourn, The shift functor and the comprehensive factorization for internal groupoids, Cahiers Top. et Géom. Diff. Cat. 28(3) (1987), 197–226.
- D. Bourn, Normalization equivalence, kernel equivalence and affine categories, Lecture Notes in Mathematics 1488 (1991), 43–62.
- D. Bourn, Mal’cev Categories and fibration of pointed objects, Appl. Categorical Structures 4 (1996), 302–327.
- D. Bourn, n-groupoids from n-truncated simplicial objects as a solution of a universal problem, Journal of pure and applied Algebra 154 (2000), 71–102.
- D. Bourn, Normal functors and strong protomodularity, Theory and Applications of Categories 7(9) (2000), 206–218.
- D. Bourn, Abelian groupoids and non-pointed additive categories, Theory and Applications of Categories 20(4) (2008), 48–73.
- D. Bourn, Normality, commutation and suprema in the regular Mal’tsev and protomodular settings, Cahiers Top. et Géom. Diff. Cat. 54(4) (2013), 243–263.
- D. Bourn, A structural aspect of the category of quandles, Journal of Knot Theory and its Ramifications 24(12) (2015), 1550060.
- D. Bourn, From Groups to Categorical Algebra, Compact Textbooks in Mathematics, Birkhäuser, Cham, 2017.
- D. Bourn and M. Gran, Centrality and normality in protomodular categories, Theory and Applications of Categories 9(8) (2002), 151–165.
- D. Bourn, N. Martins-Ferreira, and T. Van der Linden, A characterization of the “Smith is Huq” condition in the pointed Mal’tsev setting, Cahiers Top. et Géom. Diff. Cat. 54(3) (2013), 163–183.
- D. Bourn, N. Martins-Ferreira, A. Montoli, and M. Sobral, Schreier split epimorphisms between monoids, Semigroup Forum 88(3) (2014), 739–752.
- A. Carboni, J. Lambek, and M.C. Pedicchio, Diagram chasing in Mal’cev categories, Journal of Pure and Applied Algebra 69 (1990), 271–284.
- A. Carboni, M.C. Pedicchio, and N. Pirovano, Internal graphs and internal groupoids in Mal’tsev categories, Canadian Mathematical Society Conference Proceedings 13 (1992), 97–109.
- M. Hartl and T. Van der Linden, The ternary commutator obstruction for internal crossed modules, Adv. Math. 232 (2013), 571–607.
- S.A. Huq, Commutator, nilpotency and solvability in categories, Quart. J. Math. Oxford 19(2) (1968), 363–389.
- P.T. Johnstone, Affine categories and naturally Mal’cev categories, Journal of Pure and Applied Algebra 61 (1989), 251–256.
- N. Martins-Ferreira and T. Van der Linden, A note on the “Smith is Huq” condition, Appl. Categorical Structures 20(2) (2012), 175–197.
- N. Martins-Ferreira and T. Van der Linden, Further remarks on the “Smith is Huq” condition, Appl. Categorical Structures 23 (2015), 527–541.
- D. Rodelo and T. Van der Linden, Higher central extensions via commutators, Theory and Applications of Categories 27(9) (2012), 189–209.
- J.D.H. Smith, Mal’cev varieties, Lecture Notes in Mathematics 554 (1976), 160 pp.