@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] 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] Mal'cev, Protomodular, Homological and Semi-Abelian Categories, Mathematics and Its Applications, Kluwer, 2004 | MR 2044291 | Zbl 1061.18001
and ,[BC] Topological semi-abelian algebras, Advances in Mathematics 190, 2005, 425-453 | MR 2102663 | Zbl 1069.54010
and ,[BCGR] Protolocalisations of homological categories, Journal of Pure and Applied Algebra 212, 2008, 1898-1927 | MR 2414694 | Zbl 1151.18012
, , and ,[BorJ] Galois Theories, Cambridge Studies in Advanced Mathematics 72, Cambridge University Press, 2001 | MR 1822890 | Zbl 0978.12004
and ,[BG] Torsion theories in homological categories. Journal of Algebra 305, 2006, 18-47 | MR 2262518 | Zbl 1123.18009
and ,[BouJ] Protomodularity, descent, and semidirect products, Theory and Applications of Categories 4, 1998, 37-46 | MR 1615341 | Zbl 0890.18003
and ,[CJKP] On localization and stabilization of factorization systems, Applied Categorical Structures 5, 1997, 1-58 | MR 1436708 | Zbl 0866.18003
, , , and ,[CHK] Reflective subcategories, localizations, and factorization systems, Journal of Australian Mathematical Society (Series A), 1985, 287-329 | MR 779198 | Zbl 0573.18002
, , and ,[D] A torsion theory for abelian categories, Transactions of the American Mathemetical Society 121, 1966, 223-235 | MR 191935 | Zbl 0138.01801
,[EG] Homology of n-fold groupoids, 2009, preprint | MR 2593384 | Zbl 1229.18014
and ,[G1] Central extensions and internal groupoids in Maltsev categories, Journal of Pure and Applied Algebra 155, 2001, 139-166 | MR 1801412 | Zbl 0974.18007
,[G2] Applications of categorical Galois theory in universal algebra, Fields Institute Communications 43, 2004, 243-280 | MR 2075588 | Zbl 1067.18011
,[GR] Torsion theories and Galois coverings of topological groups, Journal of Pure and Applied Algebra 208, 2007, 135-151 | MR 2269835 | Zbl 1157.18008
and ,[J1] Pure Galois theory in categories, Journal of Algebra 132, 1990, 270-286 | MR 1061480 | Zbl 0702.18006
,[J2] 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] 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
and ,[JMT1] Locally semisimple coverings, Journal of Pure and Applied Algebra 128, 1998, 281-289 | MR 1626357 | Zbl 0927.18004
, , and ,[JMT2] Semi-abelian categories, Journal of Pure and Applied Algebra 168, 2002, 367-386 | MR 1887164 | Zbl 0993.18008
, , and ,[JMU] Ideals and clots in universal algebra and in semi-abelian categories, Journal of Algebra 307, 1, 2007, 191-208 | MR 2278049 | Zbl 1110.18006
, , and ,[JT] Characterization of torsion theories in general categories, Contemporary Mathematics 431, 2007, 249-256 | MR 2342832 | Zbl 1128.18009
and ,[L] Baer-invariants and extensions relative to a variety, Proceedings of Cambridge Philosophical Society 63, 1967, 569-578 | MR 217151 | Zbl 0154.27501
,[U] Osservazioni sulla varietá BIT, Boll. U. M. I. (4) 7, 1973, 205-211 | MR 323672 | Zbl 0274.08005
,