|
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
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
Citation:
Bektur Baizhanov, John Baldwin, Viktor Verbiovskiy, “Cayley's theorem for ordered groups: $o$-minimality”, Sib. Èlektron. Mat. Izv., 4 (2007), 278–281
Linking options:
https://www.mathnet.ru/eng/semr156 https://www.mathnet.ru/eng/semr/v4/p278
|
|