Geodesic
Definability of Abelian Groups by Homomorphism Groups and Endomorphism Semigroups
Matematičeskie zametki, Tome 84 (2008) no. 4, pp. 595-601

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: completely decomposable Abelian group, endomorphism semigroup, almost divisible group.
Mots-clés : torsion-free group 
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     author = {A. M. Sebel'din and A. E. Smorkalova},
     title = {Definability of {Abelian} {Groups} by {Homomorphism} {Groups} and {Endomorphism} {Semigroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {595--601},
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     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_4_a10/}
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A. M. Sebel'din; A. E. Smorkalova. Definability of Abelian Groups by Homomorphism Groups and Endomorphism Semigroups. Matematičeskie zametki, Tome 84 (2008) no. 4, pp. 595-601. http://geodesic.mathdoc.fr/item/MZM_2008_84_4_a10/