On locally free Abelian groups
Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 121-126

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The following result is proved in the paper. An Abelian group $A$ is $Lw_1,w$-equivalent to the free Abelian group of countable rank if and only if it is a countably free Abelian group.
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     author = {E. G. Sklyarenko},
     title = {On locally free {Abelian} groups},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a10/}
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E. G. Sklyarenko. On locally free Abelian groups. Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 121-126. http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a10/