Page 101 - Textos de Matemática Vol. 46

CHARACTERISTIC SUBOBJECT IN MAL’TSEV AND PROTOMODULAR SETTINGS 91
[10] D. Bourn and M. Gran, Centrality and normality in protomodular categories, Theory and Applications of Categories 9, 2002, 151–165.
[11] D. Bourn and J. R. A. Gray, Aspects of algebraic exponentiation, Bull. Belg. Math. Soc. Simon Stevin 19, 2012, 823–846.
[12] A. Carboni, J. Lambek and M. C. Pedicchio, Diagram chasing in Mal’cev categories, J. Pure Appl. Algebra 69, 1991, 271–284.
[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.
[14] A.S. Cigoli and A. Montoli, Characteristic subobjects in semi-abelian categories, Pr´e- Publica¸c˜oes do Departamento de Matema´tica da Universidade de Coimbra n. 13–50, oct. 2013.
[15] A. S. Cigoli, J. R. A. Gray and T. Van der Linden, On the normality of Higgins commu- tators, J. Pure Appl. Algebra, online http://dx.doi.org/10.1016/j.jpaa.2014.05.025.
[16] J. R. A. Gray, Algebraic exponentiation in general categories, Applied Categorical Struc-
tures 20, 2012, 543–567.
[17] J.R.A. Gray, Algebraic exponentiation for categories of Lie algebras, J. Pure Appl.
Algebra 216, 2012, 1964–1967.
[18] S.A. Huq, Commutator, nilpotency and solvability in categories, Quarterly J. Math.,
19, 1968, 363–369.
[19] G. Janelidze, L. M´arki and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra
168, 2002, 367–386.
[20] S. Mantovani, The Ursini commutator as normalized Smith-Pedichio commutator, The-
ory and Applications of Categories 23, 2010, 7–21.
[21] A. Montoli, Action accessibility for categories of interest, Theory and Applications of
Categories 27, 2012, 174–198.
[22] G. Orzech, Obstruction theory in algebraic categories I, and II, J. Pure Appl. Algebra
2, 1972, 287–340.
[23] M. C. Pedicchio, A categorical approach to commutator theory, J. Algebra 177, 1995,
647–657.
[24] J. D. H. Smith, Mal’cev varieties, Lecture Notes in Math. 554, Springer, 1976.
(D. Bourn) Universite´ du Littoral, Laboratoire de Mathe´matiques Pures et Applique´es, CNRS-2956, Bat. H. Poincare´, 50 Rue F. Buisson BP 699; 62228 Calais - France
E-mail address: bourn@lmpa.univ-littoral.fr