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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 25–33 (Mi fpm1022)  
This article is cited in 25 scientific papers (total in 25 papers)

Rank-$1$ quotient divisible groups

O. I. Davydova

Moscow State Pedagogical University
Full-text PDF (130 kB) Citations (25)
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Abstract: An Abelian group is called quotient divisible if it does not contain nonzero torsion divisible subgroups, but does contain a free finite rank subgroup such that the quotient group by it is divisible. In this paper, we will describe rank $1$ quotient divisible groups with the help of cocharacteristics, and we will describe the endomorphisms of these groups as well.
Received: 01.05.2006
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 3, Pages 295–300
DOI: https://doi.org/10.1007/s10958-008-9182-4
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: O. I. Davydova, “Rank-$1$ quotient divisible groups”, Fundam. Prikl. Mat., 13:3 (2007), 25–33; J. Math. Sci., 154:3 (2008), 295–300
Citation in format AMSBIB
\Bibitem{Dav07}
\by O.~I.~Davydova
\paper Rank-$1$ quotient divisible groups
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 3
\pages 25--33
\mathnet{http://mi.mathnet.ru/fpm1022}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2322985}
\zmath{https://zbmath.org/?q=an:1159.20029}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 3
\pages 295--300
\crossref{https://doi.org/10.1007/s10958-008-9182-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54849428288}
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  • https://www.mathnet.ru/eng/fpm/v13/i3/p25
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :192
    References:79
    First page:1
     
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