FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 209-221

**On subdirect sums of Abelian torsion-free groups of
rank $1$**

V. B. Trukhmanov

Abstract

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In this paper, we study torsion-free Abelian groups of
rank $2$,
which are subdirect sums of two divisible rational groups, with the
inducing group $$**Q**/**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.

Location: http://mech.math.msu.su/~fpm/eng/k07/k073/k07320h.htm

Last modified: June 19, 2007