Geodesic
On commutativity of circularly ordered c-o-stable groups
Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 91-98

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A circularly ordered structure is called c-o-stable in $\lambda$, if for any subset $A$ of cardinality at most $\lambda$ and for any cut $s$ there exist at most $\lambda$ one-types over $A$ that are consistent with $s$. A theory is called c-o-stable if there exists an infinite $\lambda$ such that all its models are c-o-stable in $\lambda$. In the paper, it is proved that any circularly ordered group, whose elementary theory is c-o-stable, is Abelian. 
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     author = {V. V. Verbovskiy},
     title = {On commutativity of circularly ordered c-o-stable groups},
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V. V. Verbovskiy. On commutativity of circularly ordered c-o-stable groups. Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 91-98. http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a7/