Definability of Abelian groups by homomorphism groups and endomorphism semigroups
Анатолий Михайлович Себельдин, A. E. Smorkalova · Mathematical Notes · 2008
In the paper, the isomorphism problem for completely decomposable Abelian torsion-free groups of finite rank is treated under the assumption that the groups of homomorphisms of these groups into some Abelian group are isomorphic and, moreover, the endomorphism semigroups of the groups are isomorphic.