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Algorithms in Direct Decompositions of Torsion-Free Abelian Groups

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Abstract

The graphical theory of direct decompositions of torsion-free Abelian groups of a certain type is considered as the basis for the algorithmic construction of the set of their direct decompositions satisfying some specified conditions.

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References

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Author information

Authors and Affiliations

  1. Emperor Alexander I St. Petersburg State Transport University, St. Petersburg, Russia

    E. A. Blagoveshchenskaya

  2. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    E. A. Blagoveshchenskaya

  3. University of Applied Sciences, Mannheim, Germany

    L. Strüngmann

Authors
  1. E. A. Blagoveshchenskaya
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  2. L. Strüngmann
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Corresponding author

Correspondence to E. A. Blagoveshchenskaya.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 176, Proceedings of the XVII All-Russian Youth School-Conference “Lobachevsky Readings-2018,” November 23-28, 2018, Kazan. Part 2, 2020.

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Blagoveshchenskaya, E.A., Strüngmann, L. Algorithms in Direct Decompositions of Torsion-Free Abelian Groups. J Math Sci 275, 541–547 (2023). https://doi.org/10.1007/s10958-023-06695-5

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  • DOI: https://doi.org/10.1007/s10958-023-06695-5

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