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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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-12, Vol.259 (4), p.394-402
Main Authors: Blagoveshchenskaya, E. A., Filimonov, A. V., Trifonov, A. E.
Format: Article
Language:English
Subjects:
Group theory
Isomorphism
Mathematics
Mathematics and Statistics
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Description
Summary: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