E. A. Blagoveshchenskaya, A. V. Filimonov, A. E. Trifonov, “Near isomorphism for countable rank torsion-free Abelian groups”, Fundam. Prikl. Mat., 2019, Volume 22, Issue 5,Pages <nobr>17

This article is cited in 2 papers

Near isomorphism for countable rank torsion-free Abelian groups

E. A. Blagoveshchenskaya^ab, A. V. Filimonov^b, A. E. Trifonov^c

^a Emperor Alexander I St. Petersburg State Transport University, Moskovsky prospect 9, St. Petersburg 190031, Russia
^b Peter the Great St. Petersburg Polytechnic University, Politekhnicheskaya 29, St. Petersburg 195251, Russia
^c Branch of the joint-stock company “Radio Engineering Concern Vega” in St. Petersburg, 14a Akademika Pavlova str., St. Petersburg 197376, Russia

Abstract: 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.

UDC: 512.541