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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 209–221
(Mi fpm1038)
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On subdirect sums of Abelian torsion-free groups of rank 1
V. B. Trukhmanov Arzamas State Pedagogical Institute
Abstract:
In this paper, we study torsion\df free Abelian groups of rank 2, which are subdirect sums of two divisible rational groups, with the inducing group $\mathbb{Q}/\mathbb{Z}$. The class of special groups is defined and investigated. It is shown that there is a one-to-one correspondence
between the set of all special groups and the multiplicative group of unity elements of the ring of universal numbers.
Received: 01.05.2006
Citation:
V. B. Trukhmanov, “On subdirect sums of Abelian torsion-free groups of rank 1”, Fundam. Prikl. Mat., 13:3 (2007), 209–221; J. Math. Sci., 154:3 (2008), 422–429
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https://www.mathnet.ru/eng/fpm1038 https://www.mathnet.ru/eng/fpm/v13/i3/p209
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Abstract page: | 364 | Full-text PDF : | 127 | References: | 61 |
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