Normal subobjects and Abelian objects in protomodular categories

Journal of Algebra

Volumn 228, Issue 1, 2000, Pages 143-164

  Bourn, Dominique ^a  

^a UNIVERSITÉ DU LITTORAL CÔTE D OPALE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196476     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.8249     Document Type: Article

References (12)

1. M. Barr, Exact categories, in "Exact Categories and Categories of Sheaves" (M. Barr, P. A. Grillet, and D. H. van Osdol, Eds.), Springer Lecture Notes in Math., Vol. 236, pp. 1-120, Springer-Verlag, Berlin/New York, 1971.
2. D. Bourn, "Normalization equivalence, Kernel equivalence and Affine categories," Springer Lecture Notes in Math., Vol. 1488, pp. 43-62, Springer-Verlag, Berlin/New York, 1991.
3. D. Bourn, Mal'cev categories and fibrations of pointed objects, Appl. Categ. Structures 4 (1996), 307-309.
4. D. Bourn and G. Janelidze, Protomodularity, descent, and semi direct products, Theory Appl. Categ. 4 (1998), 37-46.
5. D. Bourn and G. Janelidze, "Extensions with Abelian Kernels in Protomodular Categories," preprint, Univ. Littoral, 1998.
6. A. Carboni, J. Lambek, and M. C. Pedicchio, Diagram chasing in Mal'cev categories, J. Pure Appl. Algebra 69 (1991), 27-284.
7. A. Carboni, M. C. Pedicchio, and N. Pirovano, Internal graphs and internal groupoids in Mal'cev categories, in "Proceedings of Conf. Category Theory 1991, Montreal, 1991," pp. 97-109, Am. Math. Soc. for the Canad. Math. Soc., Providence, 1992.
8. P. T. Johnstone, Affine categories and naturally Mal'cev categories, J. Pure Appl. Algebra 61 (1989), 251-256.
9. G. Janelidze and M. C. Pedicchio, Internal categories and groupoids in congruence modular varieties, J. Algebra 193 (1997), 552-570.
10. M. C. Pedicchio, A categorical approach to commutator theory, J. Algebra 177 (1995), 647-657.
11. M. C. Pedicchio, Arithmetical categories and commutator theory, Appl. Categ. Structures 4 (1996), 297-305.
12. J. D. H. Smith, "Mal'cev varieties," Springer Lecture Notes in Math., Vol. 554, Springer-Verlag, Berlin/New York, 1976.