Near Isomorphism for Countable-Rank Torsion-Free Abelian Groups

Near Isomorphism for Countable-Rank Torsion-Free Abelian Groups

The notion of a near isomorphism is extended from finite-rank torsion-free Abelian groups to some classes of infinite-rank groups. The equivalence of different formulations of this notion for a certain class of countable-rank groups is proved.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-12, Vol.259 (4), p.394-402
Hauptverfasser: Blagoveshchenskaya, E. A., Filimonov, A. V., Trifonov, A. E.
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Isomorphism
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:The notion of a near isomorphism is extended from finite-rank torsion-free Abelian groups to some classes of infinite-rank groups. The equivalence of different formulations of this notion for a certain class of countable-rank groups is proved.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05628-4