3.31 (1969)

Solved

Find necessary and sufficient conditions under which every pure subgroup of a completely decomposable torsion-free abelian group is itself completely decomposable.

Progress

These have been found (L. Bican, Czech. Math. J., 24 (1974), 176–191; A. A. Kravchenko, Vestnik Moskov. Univ. Ser. 1 Mat. Mekh., 1980, no. 3, p. 104 (Russian)).

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