|
|
Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 5, Pages 17–28
(Mi fpm1832)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
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,
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.
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; J. Math. Sci., 259:4 (2021), 394–402
Linking options:
https://www.mathnet.ru/eng/fpm1832 https://www.mathnet.ru/eng/fpm/v22/i5/p17
|
| Statistics & downloads: |
| Abstract page: | 281 | | Full-text PDF : | 113 | | References: | 47 |
|