Geodesic
Weakly quasi-o-minimal models
Matematičeskie trudy, Tome 13 (2010) no. 1, pp. 156-168

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We introduce the notion of a weakly quasi-o-minimal model and prove that such models lack the independence property. We show that every weakly quasi-o-minimal ordered group is Abelian, every divisible Archimedean weakly quasi-o-minimal ordered group is weakly o-minimal, and every weakly o-minimal quasi-o-minimal ordered group is o-minimal. We also prove that every weakly quasi-o-minimal Archimedean ordered ring with nonzero multiplication is a real closed field that is embeddable into the field of reals. 
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     author = {K. Zh. Kudaibergenov},
     title = {Weakly quasi-o-minimal models},
     journal = {Matemati\v{c}eskie trudy},
     pages = {156--168},
     publisher = {mathdoc},
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     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2010_13_1_a6/}
}
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K. Zh. Kudaibergenov. Weakly quasi-o-minimal models. Matematičeskie trudy, Tome 13 (2010) no. 1, pp. 156-168. http://geodesic.mathdoc.fr/item/MT_2010_13_1_a6/