Direct decomposition theory of torsion-free abelian groups of finite rank: graph method

DOI10.1134/S1995080218010067zbMath1386.20028OpenAlexW2789383621MaRDI QIDQ2412940

Ekaterina Blagoveshchenskaya, D. Kunetz

Publication date: 6 April 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218010067

zbMATH Keywords

direct decompositionstorsion-free abelian groups of finite rank\(r\)-colorable graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (3)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Algorithms in direct decompositions of torsion-free abelian groups ⋮ Near isomorphism for countable-rank torsion-free abelian groups

Cites Work

• Almost completely decomposable groups and rings.
• Finite rank torsion free Abelian groups and rings
• Rings on almost completely decomposable Abelian groups.
• Dualities between almost completely decomposable groups and their endomorphism rings.
• Classification and realization theorems for one class of finite-rank torsion-free rings
• Improved model selection criterion
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