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Matematicheskie Zametki, 1973, Volume 14, Issue 6, Pages 879–884 (Mi mzm7307)  
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
Full-text PDF (406 kB) Citations (3)
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
English version:
Mathematical Notes, 1973, Volume 14, Issue 6, Pages 1064–1067
DOI: https://doi.org/10.1007/BF01099593
Bibliographic databases:
UDC: 519.4
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Soi73}
\by A.~Yu.~Soifer
\paper A~theorem on direct expansions of Abelian groups
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 6
\pages 879--884
\mathnet{http://mi.mathnet.ru/mzm7307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=348007}
\zmath{https://zbmath.org/?q=an:0285.20046}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 6
\pages 1064--1067
\crossref{https://doi.org/10.1007/BF01099593}
Linking options:
  • https://www.mathnet.ru/eng/mzm7307
  • https://www.mathnet.ru/eng/mzm/v14/i6/p879
    • This publication is cited in the following 3 articles:
    1. Fuchs L., Abelian Groups, Springer Monographs in Mathematics, Springer, 2015, 1–747  crossref  mathscinet  isi
    2. Alexander Soifer, “Solution of the irwin conjecture in gch”, Communications in Algebra, 15:5 (1987), 961  crossref
    3. Doyle Cutler, John Irwin, “ESSENTIALLY FINITELY INDECOMPOSABLE ABELIAN p-GROUPS”, Quaestiones Mathematicae, 9:1-4 (1986), 135  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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