Lobachevskii Journal of Mathematics

, Volume 39, Issue 1, pp 29–34 | Cite as

Direct Decomposition Theory of Torsion-Free Abelian Groups of Finite Rank: Graph Method



Graphical direct decomposition theory of block-rigid almost completely decomposable groups with cyclic regulator quotient is substantiated and effectively applied to construction of a group with predicted set of its direct decompositions up to near isomorphism.

Keywords and phrases

Torsion-free abelian groups of finite rank direct decompositions r-colorable graph 


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Department of MathematicsEmperor Alexander I St. Petersburg State Transport UniversitySt. PetersburgRussia
  2. 2.Department ofMathematicsPeter the Great St. Petersburg State Polytechnical UniversitySt. PetersburgRussia
  3. 3.Sidenis LLCSt. PetersburgRussia

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