Geodesic
On subdirect sums of Abelian torsion-free groups of rank 1
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 209-221 
V. B. Trukhmanov. On subdirect sums of Abelian torsion-free groups of rank 1. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 209-221. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a19/
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     author = {V. B. Trukhmanov},
     title = {On subdirect sums of {Abelian} torsion-free groups of rank~1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a19/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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[2] Kulikov L. Ya., “O podpryamykh summakh abelevykh grupp bez krucheniya pervogo ranga”, KhII Vsesoyuzn. algebr. kollokvium, Sverdlovsk, 1973, 30

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