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Algebra i logika, 2005, Volume 44, Number 6, Pages 664–681 (Mi al136)  

This article is cited in 8 scientific papers (total in 9 papers)

Completion of Linearly Ordered Groups

V. V. Bludov

Irkutsk State Pedagogical University
Full-text PDF (228 kB) Citations (9)
References:
Abstract: We give examples of linearly ordered groups that are not embeddable in divisible orderable. In the first example, the group does not embed in any divisible group with strictly isolated unity. In the second example, the group in question is an $O^*$-group, and in the third, it is a group with a central system of convex subgroups.
Keywords: linearly ordered group, $O^*$-group, centrally metabelian group, divisible group.
Received: 09.02.2005
English version:
Algebra and Logic, 2005, Volume 44, Issue 6, Pages 370–380
DOI: https://doi.org/10.1007/s10469-005-0036-6
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. V. Bludov, “Completion of Linearly Ordered Groups”, Algebra Logika, 44:6 (2005), 664–681; Algebra and Logic, 44:6 (2005), 370–380
Citation in format AMSBIB
\Bibitem{Blu05}
\by V.~V.~Bludov
\paper Completion of Linearly Ordered Groups
\jour Algebra Logika
\yr 2005
\vol 44
\issue 6
\pages 664--681
\mathnet{http://mi.mathnet.ru/al136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2213301}
\zmath{https://zbmath.org/?q=an:1103.06007}
\elib{https://elibrary.ru/item.asp?id=9082732}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 6
\pages 370--380
\crossref{https://doi.org/10.1007/s10469-005-0036-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-28644436060}
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  • https://www.mathnet.ru/eng/al136
  • https://www.mathnet.ru/eng/al/v44/i6/p664
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:377
    Full-text PDF :110
    References:70
    First page:1
     
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