Geodesic
On direct sums of $\Cal B^{(1)}$-groups
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 587-591.

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A necessary and sufficient condition is given for the direct sum of two $\Cal B^{(1)}$-groups to be (quasi-isomorphic to) a $\Cal B^{(1)}$-group. A $\Cal B^{(1)}$-group is a torsionfree Abelian group that can be realized as the quotient of a finite direct sum of rank 1 groups modulo a pure subgroup of rank 1.
Classification : 20K15, 20K25
Keywords: $\Cal B^{(1)}$-groups; Butler groups of finite rank 
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     title = {On direct sums of $\Cal B^{(1)}$-groups},
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     pages = {587--591},
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Metelli, Claudia. On direct sums of $\Cal B^{(1)}$-groups. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 587-591. http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a21/