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On determinability of a quotient divisible Abelian group of rank 1 by its automorphism group
Vadim K. Vildanova, Egor A. Timoshenkob a Lobachevsky State University of Nizhni Novgorod, Gagarina, 23, Nizhni Novgorod, 603950, Russia
b Tomsk State University, Lenina, 36, Tomsk, 634050, Russia
Abstract:
A criterion for determinability of a quotient divisible Abelian group of rank 1 by its automorphism group in the class of quotient divisible Abelian groups of rank 1 is considered in the paper.
Keywords:
determinability, quotient divisible group, automorphism group.
Received: 13.02.2019 Received in revised form: 22.07.2019 Accepted: 20.09.2019
Citation:
Vadim K. Vildanov, Egor A. Timoshenko, “On determinability of a quotient divisible Abelian group of rank 1 by its automorphism group”, J. Sib. Fed. Univ. Math. Phys., 12:6 (2019), 699–704
Linking options:
https://www.mathnet.ru/eng/jsfu811 https://www.mathnet.ru/eng/jsfu/v12/i6/p699
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Abstract page: | 143 | Full-text PDF : | 42 | References: | 22 |
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