Geodesic
Isomorphism conditions for completely decomposable torsion-free abelian groups with isomorphic rings of endomorphisms
Matematičeskie zametki, Tome 11 (1972) no. 4, pp. 403-408 Cet article a éte moissonné depuis la source Math-Net.Ru

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Assuming the generalized continuum hypothesis, we obtain necessary and sufficient conditions for completely decomposable torsion-free abelian groups with isomorphic rings of endomorphisms to be isomorphic. 
@article{MZM_1972_11_4_a6,
     author = {A. M. Sebel'din},
     title = {Isomorphism conditions for completely decomposable torsion-free abelian groups with isomorphic rings of endomorphisms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {403--408},
     year = {1972},
     volume = {11},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_4_a6/}
}
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A. M. Sebel'din. Isomorphism conditions for completely decomposable torsion-free abelian groups with isomorphic rings of endomorphisms. Matematičeskie zametki, Tome 11 (1972) no. 4, pp. 403-408. http://geodesic.mathdoc.fr/item/MZM_1972_11_4_a6/