On subdirect sums of Abelian torsion-free groups of rank 1
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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.
KeywordsAbelian Group Basic Element Special Group Characteristic Sequence Multiplicative Group
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