Geodesic
The cancellation property of torsion-free abelian groups of finite rank
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 40, Tome 531 (2024), pp. 41-52

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A final solution to Fuchs's problem 70 on the cancellation property is given. First, Eichler's theorem is modified for the case of totally definite quaternion algebras. Then this result is applied to show that one of the conditions in the author's earlier criterion can be omitted. 
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     author = {A. V. Blazhenov},
     title = {The cancellation property of torsion-free abelian groups of finite rank},
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A. V. Blazhenov. The cancellation property of torsion-free abelian groups of finite rank. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 40, Tome 531 (2024), pp. 41-52. http://geodesic.mathdoc.fr/item/ZNSL_2024_531_a2/