Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 176, Pages 19–25
DOI: https://doi.org/10.36535/0233-6723-2020-176-19-25 (Mi into583) 		 
Algorithms in direct decompositions of torsion free abelian groups

E. A. Blagoveshchenskayaab, L. Strüngmannc

a Emperor Alexander I St. Petersburg State Transport University
b Peter the Great St. Petersburg Polytechnic University
c University of Applied Sciences, Mannheim, Germany
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DOI: https://doi.org/10.36535/0233-6723-2020-176-19-25
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.
Keywords: torsion-free abelian group of finite rank, direct decomposition, almost isomorphism, $r$-colorable graph, algorithm.
Funding agency Grant number
German Academic Exchange Service (DAAD)
Deutsche Forschungsgemeinschaft STR 627/14-1
This work was supported by the German Academic Exchange Service (DAAD) and the German Research Foundation (project STR 627/14-1).
Document Type: Article
UDC: 512.541
MSC: 20K15
Language: Russian
Citation: E. A. Blagoveshchenskaya, L. Strüngmann, “Algorithms in direct decompositions of torsion free abelian groups”, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 176, VINITI, Moscow, 2020, 19–25
Citation in format AMSBIB
\Bibitem{BlaStr20}
\by E.~A.~Blagoveshchenskaya, L.~Str\"ungmann
\paper Algorithms in direct decompositions of torsion free abelian groups
\inbook Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018»,
November 23-28, 2018, Kazan. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 176
\pages 19--25
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into583}
\crossref{https://doi.org/10.36535/0233-6723-2020-176-19-25}
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