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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 278–281 (Mi semr156)  
Research papers

Cayley's theorem for ordered groups: $o$-minimality

Bektur Baizhanova, John Baldwinb, Viktor Verbiovskiya

a Institute for Informatics and Control Problems, Almaty, Kazakhstan
b Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago
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Abstract: It has long been known [1] that any group could be represented in a strongly minimal theory by just writing down the relations of the group as unary functions. We show the same process works for ordered groups and yields an $o$-minimal group.
Received April 10, 2007, published May 28, 2007
Bibliographic databases:
Document Type: Article
UDC: 512.54.03
MSC: 03C64
Language: English
Citation: Bektur Baizhanov, John Baldwin, Viktor Verbiovskiy, “Cayley's theorem for ordered groups: $o$-minimality”, Sib. Èlektron. Mat. Izv., 4 (2007), 278–281
Citation in format AMSBIB
\Bibitem{BaiBalVer07}
\by Bektur Baizhanov, John Baldwin, Viktor Verbiovskiy
\paper Cayley's theorem for ordered groups: $o$-minimality
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 278--281
\mathnet{http://mi.mathnet.ru/semr156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465426}
\zmath{https://zbmath.org/?q=an:1132.03341}
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