@article{FPM_2010_16_7_a6,
author = {P. A. Krylov and A. A. Tuganbaev},
title = {Colocalizations and dualities for modules and {Abelian} groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {161--180},
year = {2010},
volume = {16},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a6/}
}
P. A. Krylov; A. A. Tuganbaev. Colocalizations and dualities for modules and Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 161-180. http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a6/
[1] Krylov P. A., Tuganbaev A. A., “Moduli nad koltsami formalnykh matrits”, Fundament. i prikl. mat., 15:8 (2009), 145–211 | MR
[2] Krylov P. A., Tuganbaev A. A., “Idempotentnye funktory i lokalizatsii v kategoriyakh modulei i abelevykh grupp”, Fundament. i prikl. mat., 16:7 (2010), 75–159
[3] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977
[4] Arnold D. M., Finite rank torsion-free Abelian groups and rings, Lect. Notes Math., 931, Springer, Berlin, 1982 | MR | Zbl
[5] Buckner J., Dugas M., “Co-local subgroups of Abelian groups”, Abelian Groups, Rings, Modules, and Homological Algebra, Selected Papers of a Conference on the Occasion of Edgar Earle Enochs' 72nd Birthday (Auburn, AL, USA, September 9–11, 2004), Lect. Notes Pure Appl. Math., 249, ed. P. Goeters, Chapman Hall, Boca Raton, 2006, 29–37 | DOI | MR | Zbl
[6] Chachólski W., Damian E., Farjoun E. D., Segev Y., “The $A$-core and $A$-cover of a group”, J. Algebra, 321 (2009), 631–666 | DOI | MR | Zbl
[7] Chekhlov A. R., Krylov P. A., “On L. Fuchs's problems 17 and 43”, J. Math. Sci., 143:5 (2007), 3517–3602 | DOI | MR | Zbl
[8] Dugas M., “Co-local subgroups of Abelian groups. II”, J. Pure Appl. Algebra, 208 (2007), 117–126 | DOI | MR | Zbl
[9] Farjoun E. D., Cellular Spaces, Null Spaces and Homotopy Localization, Lect. Notes Math., 1622, Springer, New York, 1973 | MR
[10] Farjoun E. D., Göbel R., Segev Y., “Cellular covers of groups”, J. Pure Appl. Algebra, 208 (2007), 61–76 | DOI | MR | Zbl
[11] Farjoun E. D., Göbel R., Segev Y., Shelah S., “On kernels of cellular covers”, Groups Geom. Dyn., 1:4 (2007), 409–419 | DOI | MR | Zbl
[12] Fuchs L., Göbel R., “Cellular covers of Abelian groups”, Results Math., 53 (2009), 59–76 | DOI | MR | Zbl
[13] Grinshpon S. Ya., Krylov P. A., “Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups”, J. Math. Sci., 128:3 (2005), 2894–2997 | DOI | MR | Zbl
[14] Krylov P. A., Mikhalev A. V., Tuganbaev A. A., Endomorphism Rings of Abelian Groups, Kluwer Academic, Dordrecht, 2003 | MR | Zbl
[15] Krylov P. A., Tuganbaev A. A., Modules over Discrete Valuation Domains, De Gruyter Exp. Math., 43, Walter de Gruyter, Berlin, 2008 | DOI | Zbl
[16] Warfield R. B. (Jr.), “Homomorphisms and duality for torsion-free groups”, Math. Z., 107 (1968), 189–200 | DOI | MR | Zbl