Geodesic
A~theorem on direct expansions of Abelian groups
Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 879-884

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The following assertion is proved: if the basis subgroups of the periodic part $t(G)$ of a non-denumerable Abelian $G$.oup $G$ have the same cardinality as $G$, then each of the subgroups contains, as a subgroup of the same cardinality as $G$, a direct component of $G$. The restriction on the cardinality of $G$ is essential. 
@article{MZM_1973_14_6_a12,
     author = {A. Yu. Soifer},
     title = {A~theorem on direct expansions of {Abelian} groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {879--884},
     publisher = {mathdoc},
     volume = {14},
     number = {6},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a12/}
}
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A. Yu. Soifer. A~theorem on direct expansions of Abelian groups. Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 879-884. http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a12/