Algebras of Distributions of Binary Isolating Formulas for Almost ω-Categorical Weakly o-Minimal Theories

被引：4
|
作者：
Altayeva, A. B. [1 ]
Kulpeshov, B. Sh [2 ]
Sudoplatov, S., V [3 ]
机构：
[1] Al Farabi Kazakh Natl Univ, Inst Math & Math Modeling, Minist Educ & Sci RK, Alma Ata, Kazakhstan
[2] Kazakh British Tech Univ, Minist Educ & Sci RK, Inst Math & Math Modeling, Alma Ata, Kazakhstan
[3] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk State Tech Univ, Novosibirsk, Russia
来源：
ALGEBRA AND LOGIC | 2021年 / 60卷 / 04期
关键词：
algebra of distributions of binary isolating formulas; omega-categorical weakly o-minimal theory; CONVEXITY;
D O I：
10.1007/s10469-021-09650-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe distribution algebras of binary isolating formulas over 1-type for almost omega-categorical weakly o-minimal theories. It is proved that an isomorphism of these algebras for two 1-types is characterized by the coincidence of binary convexity ranks, as well as by the simultaneous fulfillment of isolation, quasirationality or irrationality of the two types. A criterion is established for an algebra of formulas over a pair of not weakly orthogonal 1-types to be generalized commutative for almost omega-categorical weakly o-minimal theories.
引用
收藏
页码：241 / 262
页数：22
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