Abelian groups with finitely approximated acts
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 81-89
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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.
@article{FPM_2019_22_5_a8,
author = {I. B. Kozhukhov and A. V. Tsarev},
title = {Abelian groups with finitely approximated acts},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {81--89},
publisher = {mathdoc},
volume = {22},
number = {5},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a8/}
}
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/