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Matematicheskie Zametki, 2003, Volume 73, Issue 2, Pages 269–280
DOI: https://doi.org/10.4213/mzm186 (Mi mzm186) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Commutative Moufang Loops with Finite Conjugacy Classes of Subloops

N. I. Sandu

State Agricultural University of Moldova
Full-text PDF (204 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm186
Abstract: It is proved that the following conditions are equivalent for an arbitrary commutative Moufang loop $Q$:
  • 1) the loop $Q$ is finite over the center;
  • 2) every subloop of $Q$ defines a finite conjugacy class of subloops;
  • 3) every associative subloop of $Q$ defines a finite conjugacy class of subloops;
  • 4) every infinite associative subloop of $Q$ defines a finite conjugacy class of subloops.
Received: 07.12.1999
English version:
Mathematical Notes, 2003, Volume 73, Issue 2, Pages 249–258
DOI: https://doi.org/10.1023/A:1022119327641
Bibliographic databases:
UDC: 519.48
Language: Russian
Citation: N. I. Sandu, “Commutative Moufang Loops with Finite Conjugacy Classes of Subloops”, Mat. Zametki, 73:2 (2003), 269–280; Math. Notes, 73:2 (2003), 249–258
Citation in format AMSBIB
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\by N.~I.~Sandu
\paper Commutative Moufang Loops with Finite Conjugacy Classes of Subloops
\jour Mat. Zametki
\yr 2003
\vol 73
\issue 2
\pages 269--280
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\crossref{https://doi.org/10.4213/mzm186}
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\zmath{https://zbmath.org/?q=an:1029.20036}
\transl
\jour Math. Notes
\yr 2003
\vol 73
\issue 2
\pages 249--258
\crossref{https://doi.org/10.1023/A:1022119327641}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000181384200029}
Linking options:
  • https://www.mathnet.ru/eng/mzm186
  • https://doi.org/10.4213/mzm186
  • https://www.mathnet.ru/eng/mzm/v73/i2/p269
    • This publication is cited in the following 5 articles:
    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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