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Abelian Groups with Finitely Approximated Acts

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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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Authors and Affiliations

  1. National Research University “MIET”, Moscow, Russia

    I. B. Kozhukhov

  2. Moscow State University, Moscow, Russia

    I. B. Kozhukhov

  3. Moscow Pedagogical State University, Moscow, Russia

    A. V. Tsarev

Authors
  1. I. B. Kozhukhov
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  2. A. V. Tsarev
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Correspondence to I. B. Kozhukhov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 22, No. 5, pp. 81–89, 2019.

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Kozhukhov, I.B., Tsarev, A.V. Abelian Groups with Finitely Approximated Acts. J Math Sci 259, 438–443 (2021). https://doi.org/10.1007/s10958-021-05633-7

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  • DOI: https://doi.org/10.1007/s10958-021-05633-7

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