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Article · Kazakh mathematical journal. · December 4, 2024
Remark on o-stable pure ordered groups
Abstract
In this article, we describe pure ordered groups, whose elementary theory is o-stable or o-superstable. The notion of o-stability is a natural combination of stability and o-minimality, namely, an ordered structure is called o-stable if any of its cuts are consistent with a few complete one-types.
Advanced Topology and Set TheoryRings, Modules, and AlgebrasLimits and Structures in Graph Theoryo-minimalitystability theorycuts
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