E. A. Blagoveshchenskaya, L. Strüngmann, “Algorithms in direct decompositions of torsion free abelian groups”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020, Volume 176,Pages <nobr>19

Algorithms in direct decompositions of torsion free abelian groups

E. A. Blagoveshchenskaya^ab, L. Strüngmann^c

^a Emperor Alexander I St. Petersburg State Transport University
^b Peter the Great St. Petersburg Polytechnic University
^c University of Applied Sciences, Mannheim, Germany

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.

UDC: 512.541

MSC: 20K15

DOI: 10.36535/0233-6723-2020-176-19-25