Covering morphisms and normal extensions in Galois structures associated with torsion theories
Gran, Marino ; Janelidze, George
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009), p. 171-188 / Harvested from Numdam
Publié le : 2009-01-01
@article{CTGDC_2009__50_3_171_0,
     author = {Gran, Marino and Janelidze, George},
     title = {Covering morphisms and normal extensions in Galois structures associated with torsion theories},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {50},
     year = {2009},
     pages = {171-188},
     mrnumber = {2553538},
     zbl = {1197.18007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2009__50_3_171_0}
}
Gran, Marino; Janelidze, George. Covering morphisms and normal extensions in Galois structures associated with torsion theories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) pp. 171-188. http://gdmltest.u-ga.fr/item/CTGDC_2009__50_3_171_0/

[A] A. Arkhangel'Skiĭ, Any topological group is a quotient group of a zero-dimensional topological group, Soviet Math. Doklady 23, 1981, 615-618 | MR 631912 | Zbl 0498.54032

[BB] F. Borceux and D. Bourn, Mal'cev, Protomodular, Homological and Semi-Abelian Categories, Mathematics and Its Applications, Kluwer, 2004 | MR 2044291 | Zbl 1061.18001

[BC] F. Borceux and M.M. Clementino, Topological semi-abelian algebras, Advances in Mathematics 190, 2005, 425-453 | MR 2102663 | Zbl 1069.54010

[BCGR] F. Borceux, M.M. Clementino, M. Gran and L. Sousa, Protolocalisations of homological categories, Journal of Pure and Applied Algebra 212, 2008, 1898-1927 | MR 2414694 | Zbl 1151.18012

[BorJ] F. Borceux and G. Janelidze, Galois Theories, Cambridge Studies in Advanced Mathematics 72, Cambridge University Press, 2001 | MR 1822890 | Zbl 0978.12004

[BG] D. Bourn and M. Gran, Torsion theories in homological categories. Journal of Algebra 305, 2006, 18-47 | MR 2262518 | Zbl 1123.18009

[BouJ] D. Bourn and G. Janelidze, Protomodularity, descent, and semidirect products, Theory and Applications of Categories 4, 1998, 37-46 | MR 1615341 | Zbl 0890.18003

[CJKP] A. Carboni, G. Janelidze, G. M. Kelly, and R. Paré, On localization and stabilization of factorization systems, Applied Categorical Structures 5, 1997, 1-58 | MR 1436708 | Zbl 0866.18003

[CHK] C. Cassidy, M. Hébert, and G. M. Kelly, Reflective subcategories, localizations, and factorization systems, Journal of Australian Mathematical Society (Series A), 1985, 287-329 | MR 779198 | Zbl 0573.18002

[D] S. E. Dickson, A torsion theory for abelian categories, Transactions of the American Mathemetical Society 121, 1966, 223-235 | MR 191935 | Zbl 0138.01801

[EG] T. Everaert and M. Gran, Homology of n-fold groupoids, 2009, preprint | MR 2593384 | Zbl 1229.18014

[G1] M. Gran, Central extensions and internal groupoids in Maltsev categories, Journal of Pure and Applied Algebra 155, 2001, 139-166 | MR 1801412 | Zbl 0974.18007

[G2] M. Gran, Applications of categorical Galois theory in universal algebra, Fields Institute Communications 43, 2004, 243-280 | MR 2075588 | Zbl 1067.18011

[GR] M. Gran and V. Rossi, Torsion theories and Galois coverings of topological groups, Journal of Pure and Applied Algebra 208, 2007, 135-151 | MR 2269835 | Zbl 1157.18008

[J1] G. Janelidze, Pure Galois theory in categories, Journal of Algebra 132, 1990, 270-286 | MR 1061480 | Zbl 0702.18006

[J2] G. Janelidze, Categorical Galois theory: revision and some recent developments, in: "Galois Connections and Applications", Mathematics and Its Applications 565, Kluwer Academic Publishers B.V., 2004, 139-171 | MR 2073649 | Zbl 1072.18003

[JK] G. Janelidze and G. M. Kelly, Galois theory and a general notion of a central extension, Journal of Pure and Applied Algebra 97, 1994, 135-161 | MR 1312759 | Zbl 0813.18001

[JMT1] G. Janelidze, L. Márki, and W. Tholen, Locally semisimple coverings, Journal of Pure and Applied Algebra 128, 1998, 281-289 | MR 1626357 | Zbl 0927.18004

[JMT2] G. Janelidze, L. Márki, and W. Tholen, Semi-abelian categories, Journal of Pure and Applied Algebra 168, 2002, 367-386 | MR 1887164 | Zbl 0993.18008

[JMU] G. Janelidze, L. Márki, and A. Ursini, Ideals and clots in universal algebra and in semi-abelian categories, Journal of Algebra 307, 1, 2007, 191-208 | MR 2278049 | Zbl 1110.18006

[JT] G. Janelidze and W. Tholen, Characterization of torsion theories in general categories, Contemporary Mathematics 431, 2007, 249-256 | MR 2342832 | Zbl 1128.18009

[L] A. S.-T. Lue, Baer-invariants and extensions relative to a variety, Proceedings of Cambridge Philosophical Society 63, 1967, 569-578 | MR 217151 | Zbl 0154.27501

[U] A. Ursini, Osservazioni sulla varietá BIT, Boll. U. M. I. (4) 7, 1973, 205-211 | MR 323672 | Zbl 0274.08005