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Fundam. Prikl. Mat., 2019, Volume 22, Issue 5, Pages 17–28 (Mi fpm1832)  

Near isomorphism for countable rank torsion-free Abelian groups

E. A. Blagoveshchenskayaab, A. V. Filimonovb, A. E. Trifonovc

a Emperor Alexander I St. Petersburg State Transport University
b Peter the Great St. Petersburg Polytechnic University
c Филиал акционерного общества «Концерн радиостроения “Вега”» в г. Санкт-Петербурге

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.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 11.5861.2017/БЧ
German Academic Exchange Service (DAAD)


Full text: PDF file (173 kB)
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UDC: 512.541

Citation: E. A. Blagoveshchenskaya, A. V. Filimonov, A. E. Trifonov, “Near isomorphism for countable rank torsion-free Abelian groups”, Fundam. Prikl. Mat., 22:5 (2019), 17–28

Citation in format AMSBIB
\Bibitem{BlaFilTri19}
\by E.~A.~Blagoveshchenskaya, A.~V.~Filimonov, A.~E.~Trifonov
\paper Near isomorphism for countable rank torsion-free Abelian groups
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 5
\pages 17--28
\mathnet{http://mi.mathnet.ru/fpm1832}


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