Abstract

M. C. R. Butler [B] introduced a class R (called Butler groups) of torsion free Abelian groups of finite rank that is the closure of the class of subgroups of the rationals under finite direct sums, torsion free epimorphic images, and pure subgroups. (i.e., R is the smallest torsion free class that contains the rank-1 torsion free Abelian groups.)

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