Theory of nontrivial torsion-free divisible Abelian groups
= Theory of nontrivial torsion-free divisible Abelian groups
{title2=$\mathrm{DAG}$}
= DAG
{c}
{synonym}
This <first-order theory> has as models the nonzero <torsion-free divisible Abelian groups>. Rational division equips them with the structure of <vector spaces over the rational numbers>. A <rational divisible hull> gives an <algebraically prime extension> of each nonzero torsion-free base, while the zero base uses a one-dimensional rational space.