Geodesic
Complete direct sums of Abelian torsion-free groups of rank 1 with isomorphic groups or rings of endomorphisms. I
Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 867-878.

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Isomorphism conditions are established for torsion-free Abelian groups with isomorphic groups or rings of endomorphisms decomposable into complete direct sums of groups of rank 1. 
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     author = {A. M. Sebel'din},
     title = {Complete direct sums of {Abelian} torsion-free groups of rank 1 with isomorphic groups or rings of endomorphisms. {I}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {6},
     year = {1973},
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A. M. Sebel'din. Complete direct sums of Abelian torsion-free groups of rank 1 with isomorphic groups or rings of endomorphisms. I. Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 867-878. http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a11/