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An Abelian Group as a Direct Summand of the Multiplication Group

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Abstract

In this work, the question of the extraction of an Abelian group as a direct summand in the multiplication group is considered.

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References

  1. A. A. Agafonov and A. M. Sebeldin, “Determination of Abelian groups by multiplication group,” in: Proceedings of the All-Russia Symposium “Abelian groups,” Biysk (2010), pp. 13–16.

  2. L. Fuchs, Infinite Abelian Groups, V. 1 [Russian translation], Mir, Moscow (1974).

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  3. L. Fuchs, Infinite Abelian Groups, V. 2 [Russian translation], Mir, Moscow (1977).

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  4. A. M. Sebeldin, “Homomorphism groups of completely decomposable torsion-free Abelian groups,” Izv. Vyssh. Uchebn. Zaved., Mat., 7, 77–84 (1973).

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  5. A. M. Sebeldin, “Isomorphisme naturel des groupes des homomorphismes des groupes abéliens,” Ann. de L’IPGANC, Conakry, sér. A, 8, 155–158 (1982).

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Authors and Affiliations

  1. State Pedagogical University of Nizhny Novgorod, Nizhny Novgorod, Russia

    A. A. Agafonov & A. M. Sebeldin

Authors
  1. A. A. Agafonov
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  2. A. M. Sebeldin
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Correspondence to A. A. Agafonov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 8, pp. 9–12, 2011/12.

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Agafonov, A.A., Sebeldin, A.M. An Abelian Group as a Direct Summand of the Multiplication Group. J Math Sci 197, 587–589 (2014). https://doi.org/10.1007/s10958-014-1738-x

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  • DOI: https://doi.org/10.1007/s10958-014-1738-x

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