On regular and homological closure operators
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 2, article no. 3, 16 p.
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     title = {On regular and homological closure operators},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     eid = {3},
     pages = {127--142},
     publisher = {Andr\'ee CHARLES EHRESMANN},
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     number = {2},
     year = {2010},
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     zbl = {1216.18002},
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     url = {http://www.numdam.org/item/CTGDC_2010__51_2_127_0/}
}
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Clementino, Maria Manuel; Gutierres, Gonçalo. On regular and homological closure operators. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 2, article  no. 3, 16 p. http://www.numdam.org/item/CTGDC_2010__51_2_127_0/

[1] A. Arhangel'Skiĭ; and R. Wiegandt, Connectednesses and disconnectednesses in Topology, Gen. Topology and Appl. 5 (1975), 9-33. | MR | Zbl

[2] F. Borceux and D. Bourn, Mal'cev, protomodular, homological and semi-abelian categories, Mathematics and its Applications, 566. Kluwer Academic Publishers, Dordrecht, 2004. | MR | Zbl

[3] F. Borceux and M. M. Clementino, Topological semi-abelian algebras, Adv. Math. 190 (2005), no. 2, 425-453. | MR | Zbl

[4] F. Borceux, M. M. Clementino, M. Gran and L. Sousa, Protolocalisations of homological categories, J. Pure Appl. Algebra 212 (2008), 1898-1927. | MR | Zbl

[5] D. Bourn, Normal subobjects and abelian objects in protomodular categories, J. Algebra 228 (2000), 143-164. | MR | Zbl

[6] D. Bourn and M. Gran, Torsion theories and closure operators, J. Algebra 305 (2006), 18-47. | MR | Zbl

[7] M. M. Clementino, Weakly hereditary regular closure operators, Topology Appl. 49 (1993), 129-139. | MR | Zbl

[8] M. M. Clementino, D. Dikranjan and W. Tholen, Torsion theories and radicals in normal categories, J. Algebra 305 (2006), 98-129. | MR | Zbl

[9] M. M. Clementino and W. Tholen, Separation versus connectedness, Topology Appl. 75 (1997), no. 2, 143-181. | MR | Zbl

[10] S. Dickson, A torsion theory for abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223-235. | MR | Zbl

[11] D. Dikranjan, E. Giuli and W. Tholen, Closure Operators II, in: Proc. Int. Conf. on Categorical Topology, Prague 1988 (World Scientific, Singapore 1989), pp. 297-335. | MR

[12] D. Dikranjan and W. Tholen, Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics, Mathematics and its Applications, 346, Kluwer, Dordrecht, 1995. | MR | Zbl

[13] G. Gutierres, On coregular closure operators, Preprint 99-21, Department of Mathematics, University of Coimbra (1999), http://www.mat.uc.pt/preprints/1999.html.

[14] G. Janelidze, L. Márki and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), no. 2-3, 367-386. | MR | Zbl

[15] S. Salbany, Reflective subcategories and closure operators, in: Lecture Notes in Math. (Springer 1976), pp. 548-565. | MR | Zbl