Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i logika, 2002, Volume 41, Number 6, Pages 713–729 (Mi al203)  
Partial Orders of the Group $\mathrm{Aut}\mathbf Q$

A. V. Zenkov
Full-text PDF (1381 kB)
References:
PDF
HTML
Abstract: We study maximal and minimal partial orders of the group $\mathrm{Aut}\mathbf Q$ of all order automorphisms of a linearly ordered set $\mathbf Q$ of rational numbers. A proof is given for the fact that $\mathrm{Aut}\mathbf Q$ has 36 distinct minimal non-trivial partial orders, and their complete description is provided in. Also, all maximal partial orders of each of the normal subgroups of $\mathrm{Aut}\mathbf Q$ are described.
Keywords: linearly ordered set of rational numbers, maximal partial order, minimal partial order, order automorphism.
Received: 12.12.2000
Revised: 30.10.2002
English version:
Algebra and Logic, 2002, Volume 41, Issue 6, Pages 391–399
DOI: https://doi.org/10.1023/A:1021755613605
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: A. V. Zenkov, “Partial Orders of the Group $\mathrm{Aut}\mathbf Q$”, Algebra Logika, 41:6 (2002), 713–729; Algebra and Logic, 41:6 (2002), 391–399
Citation in format AMSBIB
\Bibitem{Zen02}
\by A.~V.~Zenkov
\paper Partial Orders of the Group $\mathrm{Aut}\mathbf Q$
\jour Algebra Logika
\yr 2002
\vol 41
\issue 6
\pages 713--729
\mathnet{http://mi.mathnet.ru/al203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1967771}
\zmath{https://zbmath.org/?q=an:1031.20002}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 6
\pages 391--399
\crossref{https://doi.org/10.1023/A:1021755613605}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249088903}
Linking options:
  • https://www.mathnet.ru/eng/al203
  • https://www.mathnet.ru/eng/al/v41/i6/p713
    • 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:421
    Full-text PDF :98
    References:72
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024