Binary Formulas in Countably Categorical Weakly Circularly Minimal Structures

被引:0
|
作者
B. Sh. Kulpeshov
A. B. Altaeva
机构
[1] International Information Technologies University,
[2] Institute of Informatics and Control,undefined
来源
Algebra and Logic | 2016年 / 55卷
关键词
circularly ordered structure; weak circular minimality; countable categoricity; convexity rank;
D O I
暂无
中图分类号
学科分类号
摘要
Countably categorical weakly circularly minimal structures that are not 1-transitive are studied. We give a characterization of the behavior of binary formulas acting on a set of realizations of a nonalgebraic 1-type, and based on it, we present a complete description of countably categorical non-1-transitive weakly circularly minimal n-convex (n > 1) almost binary theories of convexity rank 1.
引用
收藏
页码:226 / 241
页数:15
相关论文
共 50 条
  • [1] Binary Formulas in Countably Categorical Weakly Circularly Minimal Structures
    Kulpeshov, B. Sh.
    Altaeva, A. B.
    ALGEBRA AND LOGIC, 2016, 55 (03) : 226 - 241
  • [2] Almost Binarity of Countably Categorical Weakly Circularly Minimal Structures
    A. B. Altayeva
    B. Sh. Kulpeshov
    Mathematical Notes, 2021, 110 : 813 - 829
  • [3] Almost Binarity of Countably Categorical Weakly Circularly Minimal Structures
    Altayeva, A. B.
    Kulpeshov, B. Sh
    MATHEMATICAL NOTES, 2021, 110 (5-6) : 813 - 829
  • [4] Algebras of Distributions for Binary Formulas in Countably Categorical Weakly o-Minimal Structures
    D. Yu. Emel’yanov
    B. Sh. Kulpeshov
    S. V. Sudoplatov
    Algebra and Logic, 2017, 56 : 13 - 36
  • [5] ALGEBRAS OF DISTRIBUTIONS FOR BINARY FORMULAS IN COUNTABLY CATEGORICAL WEAKLY o-MINIMAL STRUCTURES
    Emel'yanov, D. Yu.
    Kulpeshov, B. Sh.
    Sudoplatov, S. V.
    ALGEBRA AND LOGIC, 2017, 56 (01) : 13 - 36
  • [6] Algebras of binary formulas for N0-categorical weakly circularly minimal theories: monotonic case
    Kulpeshov, B. Sh.
    Sudoplatov, S. V.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2024, 113 (01): : 112 - 127
  • [7] On almost binary weakly circularly minimal structures
    Kulpeshov, B. Sh.
    Altaeva, A. B.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2015, 78 (02): : 74 - 82
  • [8] ON EXPANDING COUNTABLY CATEGORICAL WEAKLY O-MINIMAL THEORIES BY BINARY PREDICATES
    Baizhanov, S. S.
    Kulpeshov, B. Sh.
    NEWS OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN-SERIES PHYSICO-MATHEMATICAL, 2018, 1 (317): : 18 - 24
  • [9] On N0-categorical weakly circularly minimal structures
    Kulpeshov, Beibut Sh.
    MATHEMATICAL LOGIC QUARTERLY, 2006, 52 (06) : 555 - 574
  • [10] ALGEBRAS OF BINARY FORMULAS FOR N0-CATEGORICAL WEAKLY CIRCULARLY MINIMAL THEORIES: PIECEWISE MONOTONIC CASE
    Kulpeshov, B. Sh.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (02): : 824 - 832