@article{CTGDC_2010__51_2_127_0, author = {Clementino, Maria Manuel and Gutierres, Gon\c calo}, title = {On regular and homological closure operators}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {51}, year = {2010}, pages = {127-142}, mrnumber = {2667980}, zbl = {1216.18002}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_2010__51_2_127_0} }
Clementino, Maria Manuel; Gutierres, Gonçalo. On regular and homological closure operators. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) pp. 127-142. http://gdmltest.u-ga.fr/item/CTGDC_2010__51_2_127_0/
[1] Connectednesses and disconnectednesses in Topology, Gen. Topology and Appl. 5 (1975), 9-33. | MR 367920 | Zbl 0329.54008
; and ,[2] Mal'cev, protomodular, homological and semi-abelian categories, Mathematics and its Applications, 566. Kluwer Academic Publishers, Dordrecht, 2004. | MR 2044291 | Zbl 1061.18001
and ,[3] Topological semi-abelian algebras, Adv. Math. 190 (2005), no. 2, 425-453. | MR 2102663 | Zbl 1069.54010
and ,[4] Protolocalisations of homological categories, J. Pure Appl. Algebra 212 (2008), 1898-1927. | MR 2414694 | Zbl 1151.18012
, , and ,[5] Normal subobjects and abelian objects in protomodular categories, J. Algebra 228 (2000), 143-164. | MR 1760960 | Zbl 0969.18008
,[6] Torsion theories and closure operators, J. Algebra 305 (2006), 18-47. | MR 2262518 | Zbl 1123.18009
and ,[7] Weakly hereditary regular closure operators, Topology Appl. 49 (1993), 129-139. | MR 1206220 | Zbl 0781.18001
,[8] Torsion theories and radicals in normal categories, J. Algebra 305 (2006), 98-129. | MR 2262521 | Zbl 1121.18010
, and ,[9] Separation versus connectedness, Topology Appl. 75 (1997), no. 2, 143-181. | MR 1427747 | Zbl 0906.18003
and ,[10] A torsion theory for abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223-235. | MR 191935 | Zbl 0138.01801
,[11] Closure Operators II, in: Proc. Int. Conf. on Categorical Topology, Prague 1988 (World Scientific, Singapore 1989), pp. 297-335. | MR 1047909
, and ,[12] Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics, Mathematics and its Applications, 346, Kluwer, Dordrecht, 1995. | MR 1368854 | Zbl 0853.18002
and ,[13] On coregular closure operators, Preprint 99-21, Department of Mathematics, University of Coimbra (1999), http://www.mat.uc.pt/preprints/1999.html.
,[14] Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), no. 2-3, 367-386. | MR 1887164 | Zbl 0993.18008
, and ,[15] Reflective subcategories and closure operators, in: Lecture Notes in Math. (Springer 1976), pp. 548-565. | MR 451186 | Zbl 0335.54003
,