On Determinability of a Quotient Divisible Abelian Group of Rank 1 by Its Automorphism Group

被引:0
作者
Vildanov, Vadim K. [1 ]
Timoshenko, Egor A. [2 ]
机构
[1] Lobachevsky State Univ Nizhni Novgorod, Gagarina 23, Nizhnii Novgorod 603950, Russia
[2] Tomsk State Univ, Lenina 36, Tomsk 634050, Russia
来源
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2019年 / 12卷 / 06期
关键词
determinability; quotient divisible group; automorphism group;
D O I
10.17516/1997-1397-2019-12-6-699-704
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:699 / 704
页数:6
相关论文
共 9 条
  • [1] Davydova O. I., 2008, J MATH SCI, V154, P295, DOI [10.1007/s10958-008-9182-4, DOI 10.1007/S10958-008-9182-4]
  • [2] Fuchs L., 1973, INFINITE ABELIAN GRO, V1
  • [3] Fuchs L., 1973, INFINITE ABELIAN GRO, V2
  • [4] Ireland K., 1990, A Classical Introduction to Modern Number Theory, V2
  • [5] Leptin H., 1960, MATH Z, V73, P235
  • [6] Liebert W., 1987, ABELIAN GROUP THEORY, P9
  • [7] Tsarev AV, 2013, VESTN TOMSK GOS U-MA, P50
  • [8] Vildanov V.K., 2011, Vestnik Nizhegorodskogo universi- teta im. N.I. Lobachevskogo-Vestnik of Lobachevsky State University of Nizhny Novgorod, V3, P174
  • [9] Vildanov V.K., 2014, Journal of Mathematical Sciences (New York), V197, P590, DOI [10.1007/s10958-014-1739-9, DOI 10.1007/S10958-014-1739-9]