Submission date: 12 May 2010.

Abstract:

In this short paper I prove that if the elementary theory of a totally ordered structure is dp-minimal, then it is o-stable. Also I give an example of an o-stable theory which is not dp-minimal, namely, it is the ordered group of reals with a named subgroup of rationals. (The paper is in Russian).

Mathematics Subject Classification: 03B10, 03C52, 03C64

Keywords and phrases: totally ordered structure, dp-minimal, o-stable

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