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Abelian groups small with respect to reduced groups

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Abstract

In this paperwe study

-small abelian groups, where

is the class of all reduced groups.

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References

  1. L. Fuchs, Infinite Abelian Groups (Academic Press, New York, 1970; Mir, Moscow, 1974), Vol. 1.

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  2. C. Faith, Algebra: Rings, Modules, and Categories (Springer-Verlag, Berlin, 1973; Mir, Moscow, 1977), Vol. 1.

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  3. I. V. Gerdt, “Small Abelian Groups,” Vestn. Tomsk. Gos. Univ., No. 290, 14–17 (2006).

  4. R.A. Beaumont and R.S. Pierce “Torsion-Free Rings,” Illinois J. Math. 5, 61–98 (1961).

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Authors and Affiliations

  1. Tomsk State University of Control Systems and Radio Electronics, pr. Lenina 40, Tomsk, 634050, Russia

    I. V. Gerdt

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  1. I. V. Gerdt
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Correspondence to I. V. Gerdt.

Additional information

Original Russian Text © I.V. Gerdt, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 4, pp. 20–24.

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Gerdt, I.V. Abelian groups small with respect to reduced groups. Russ Math. 53, 15–19 (2009). https://doi.org/10.3103/S1066369X09040021

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  • DOI: https://doi.org/10.3103/S1066369X09040021

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