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 Fundam. Prikl. Mat., 2019, Volume 22, Issue 5, Pages 81–89 (Mi fpm1837)

Abelian groups with finitely approximated acts

I. B. Kozhukhovab, A. V. Tsarevc

a National Research University of Electronic Technology
b Lomonosov Moscow State University
c Moscow State Pedagogical University

Abstract: 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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UDC: 512.531+512.541

Citation: I. B. Kozhukhov, A. V. Tsarev, “Abelian groups with finitely approximated acts”, Fundam. Prikl. Mat., 22:5 (2019), 81–89

Citation in format AMSBIB
\Bibitem{KozTsa19} \by I.~B.~Kozhukhov, A.~V.~Tsarev \paper Abelian groups with finitely approximated acts \jour Fundam. Prikl. Mat. \yr 2019 \vol 22 \issue 5 \pages 81--89 \mathnet{http://mi.mathnet.ru/fpm1837}