Geodesic
Algorithms in direct decompositions of torsion free abelian groups
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 19-25

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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, almost isomorphism, $r$-colorable graph, algorithm.
Mots-clés : direct decomposition 
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     author = {E. A. Blagoveshchenskaya and L. Str\"ungmann},
     title = {Algorithms in direct decompositions of torsion free abelian groups},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {176},
     year = {2020},
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E. A. Blagoveshchenskaya; L. Strüngmann. Algorithms in direct decompositions of torsion free abelian groups. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 19-25. http://geodesic.mathdoc.fr/item/INTO_2020_176_a1/