A theorem on direct expansions of Abelian groups
Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 879-884
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
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.