Geodesic
Abelian groups with finitely approximated acts
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 81-89 
I. B. Kozhukhov; A. V. Tsarev. Abelian groups with finitely approximated acts. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 81-89. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a8/
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Abelian groups of each of the following classes are completely described: ($*$) class of Abelian groups such that all the acts over them are finitely approximated, ($**$) Abelian groups such that all the acts over them are approximated by the acts consisting of $n$ or less elements, where $n$ is some natural number. In particular, a group belongs to the class ($**$) if and only if it is bounded.

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