Geodesic
Algebras of distributions for binary formulas in countably categorical weakly $o$-minimal structures
Algebra i logika, Tome 56 (2017) no. 1, pp. 20-54

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Algebras of distributions for binary isolating formulas over a type for countably categorical weakly o-minimal theories are described, and the generalized commutative property of an algebra of distributions for binary isolating formulas over a pair of types for countably categorical weakly ominimal theories is characterized in terms of convexity rank.
Keywords: countably categorical weakly $o$-minimal theory, convexity rank, algebra of distributions for binary isolating formulas, generalized commutative monoid. 
@article{AL_2017_56_1_a1,
     author = {D. Yu. Emel'yanov and B. Sh. Kulpeshov and S. V. Sudoplatov},
     title = {Algebras of distributions for binary formulas in countably categorical weakly $o$-minimal structures},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_1_a1/}
}
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D. Yu. Emel'yanov; B. Sh. Kulpeshov; S. V. Sudoplatov. Algebras of distributions for binary formulas in countably categorical weakly $o$-minimal structures. Algebra i logika, Tome 56 (2017) no. 1, pp. 20-54. http://geodesic.mathdoc.fr/item/AL_2017_56_1_a1/