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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2009, Number 3(7), Pages 64–67
(Mi vtgu73)
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This article is cited in 9 scientific papers (total in 9 papers)
MATHEMATICS
On abelian groups, in which all subgroups are ideals
A. R. Chekhlov
Tomsk State University
Abstract:
The abelian groups, in which all subgroups are ideals in each of ring, given on group, are described. The conditions on types of direct summands of rank 1 of torsion free separable and vector groups, under which these groups are nil groups, are found.
Keywords:
addition groups of the rings, nil groups.
Accepted: April 9, 2009
Citation:
A. R. Chekhlov, “On abelian groups, in which all subgroups are ideals”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2009, no. 3(7), 64–67
Linking options:
https://www.mathnet.ru/eng/vtgu73 https://www.mathnet.ru/eng/vtgu/y2009/i3/p64
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| Abstract page: | 349 | | Full-text PDF : | 83 | | References: | 60 | | First page: | 1 |
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