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A Push Forward Construction and the Comprehensive Factorization for Internal Crossed Modules

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  1. Beck, J.M.: Triples, algebra and cohomology. Ph.D. thesis, Columbia University, 1967. Available in Reprints in Theory Appl. Categories 2, 1–59 (2003)
  2. Borceux Francis, Bourn Dominique, Mal’cev, Protomodular, Homological and Semi-Abelian Categories, ISBN:9789048165513, 10.1007/978-1-4020-1962-3
  3. Borceux, F., Janelidze, G., Kelly, G.M.: Internal object actions. Comment. Math. Univ. Carol. 46(2), 235–255 (2005)
  4. Bourn, D.: The shift functor and the comprehensive factorization for internal groupoids. Cahiers Top. Géom Diff. Catég. 28, 197–226 (1987)
  5. Bourn Dominique, Aspherical abelian groupoids and their directions, 10.1016/s0022-4049(01)00093-7
  6. Bourn Dominique, Baer sums in homological categories, 10.1016/j.jalgebra.2006.07.022
  7. Bourn, D.: Internal profunctors and commutator theory; applications to extensions classification and categorical Galois Theory. Theory Appl. Categ. 24, 451–488 (2010)
  8. Bourn, D., Janelidze, G.: Protomodularity, descent and semi-direct products. Theory Appl. Categ. 4, 37–46 (1998)
  9. Bourn, D., Janelidze, G.: Extensions with abelian kernel in protomodular categories. Georgian Math. J. 11, 645–654 (2004)
  10. Bourn, D., Janelidze, G.: Centralizers in action accessible categories. Cahiers Top. Géom. Diff. Catég. 50, 211–232 (2009)
  11. Bourn Dominique, Rodelo Diana, Comprehensive factorization and I-central extensions, 10.1016/j.jpaa.2011.07.013
  12. Brown Kenneth S., Cohomology of Groups, ISBN:9781468493290, 10.1007/978-1-4684-9327-6
  13. Gran Marino, Van der Linden Tim, On the second cohomology group in semi-abelian categories, 10.1016/j.jpaa.2007.06.009
  14. Hartl, M.: Push forward of crossed modules. Abstract presented at workshop on category theory. Coimbra (2012)
  15. Janelidze, G.: Internal crossed modules. Georgian Math. J 10, 99–114 (2003)
  16. Casas J. M., Datuashvili T., Ladra M., Universal Strict General Actors and Actors in Categories of Interest, 10.1007/s10485-008-9166-z
  17. Loday, J.-L.: Une version non commutative des algèbres de Lie: les algèbres de Leibniz. Enseignement Math. 39, 269–293 (1993)
  18. Mac Lane Saunders, Homology, ISBN:9783540586623, 10.1007/978-3-642-62029-4
  19. Mantovani, S., Metere, G.: Internal crossed modules and Peiffer condition. Theory Appl. Categ. 23, 113–135 (2010)
  20. Mantovani Sandra, Metere Giuseppe, Normalities and commutators, 10.1016/j.jalgebra.2010.07.043
  21. Mantovani S., Metere G., Vitale E.M., Profunctors in Mal’tsev categories and fractions of functors, 10.1016/j.jpaa.2012.10.015
  22. Martins-Ferreira Nelson, Van der Linden Tim, A Note on the “Smith is Huq” Condition, 10.1007/s10485-010-9231-2
  23. Noohi, B.: On weak maps between 2-groups (2008). arXiv:
  24. Orzech G., Obstruction theory in algebraic categories, I, 10.1016/0022-4049(72)90008-4
  25. Street Ross, Walters R. F. C., The comprehensive factorization of a functor, 10.1090/s0002-9904-1973-13268-9
Bibliographic reference Cigoli, Alan Stefano ; Mantovani, Sandra ; Metere, Giuseppe. A Push Forward Construction and the Comprehensive Factorization for Internal Crossed Modules. In: Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science, Vol. 22, no.5-6, p. 931-960 (2013)
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