Geodesic
On $K$-large and generalized $K$-large Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 51-60
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The concepts of $K$-large and generalized $K$-large Abelian groups are introduced, and their main properties and interconnections are studied. We consider groups that are $K$-large (generalized $K$-large) with respect to the class of all groups and torsion-free groups. Main attention is paid to the case where $K$ consists of bounded $p$-groups for an infinite set of prime numbers $p$. 
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     author = {O. M. Katerinchuk},
     title = {On $K$-large and generalized $K$-large {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {51--60},
     year = {2007},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a7/}
}
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O. M. Katerinchuk. On $K$-large and generalized $K$-large Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 51-60. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a7/

[1] Krylov P. A., Pakhomova E. G., “Abelevy gruppy kak in'ektivnye moduli nad koltsami endomorfizmov”, Fundament. i prikl. mat., 4:4 (1998), 1365–1384 | MR | Zbl

[2] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974

[3] 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

[4] Krylov P. A., Mikhalev A. V., Tuganbaev A. A., Endomorphism Rings of Abelian Groups, Kluwer Academic, Dordrecht, 2003 | MR