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This article is cited in 3 scientific papers (total in 3 papers)
A theorem on direct expansions of Abelian groups
A. Yu. Soifer V. I. Lenin Moscow Pedagogical Institute
Abstract:
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.
Received: 19.06.1972
Citation:
A. Yu. Soifer, “A theorem on direct expansions of Abelian groups”, Mat. Zametki, 14:6 (1973), 879–884; Math. Notes, 14:6 (1973), 1064–1067
Linking options:
https://www.mathnet.ru/eng/mzm7307 https://www.mathnet.ru/eng/mzm/v14/i6/p879
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