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
  • [41] ALMOST ω-CATEGORICAL WEAKLY o-MINIMAL THEORIES OF CONVEXITY RANK 1
    Kulpeshov, B. Sh.
    Mustafin, T. S.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (01) : 52 - 65
  • [42] Weakly o-minimal structures and some of their properties
    Kulpeshov, BS
    JOURNAL OF SYMBOLIC LOGIC, 1998, 63 (04) : 1511 - 1528
  • [43] ON EXPANSIONS OF MODELS OF WEAKLY O-MINIMAL THEORIES BY BINARY PREDICATES
    Baizhanov, Sayan Samatovich
    Kulpeshov, Beibut Shaiykovich
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 673 - 682
  • [44] BINARITY FOR aleph(0)-CATEGORICAL WEAKLY O-MINIMAL THEORIES OF CONVEXITY RANK 1
    Kulpeshov, B. Sh.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2006, 3 : 185 - 196
  • [45] A note on prime models in weakly o-minimal structures
    Tari, Somayyeh
    MATHEMATICAL LOGIC QUARTERLY, 2017, 63 (1-2) : 109 - 113
  • [46] Weakly o-minimal structures and real closed fields
    Macpherson, D
    Marker, D
    Steinhorn, C
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (12) : 5435 - 5483
  • [47] Algebras of Distributions of Binary Isolating Formulas for Quite o-Minimal Theories
    Emel'yanov, D. Yu.
    Kulpeshov, B. Sh.
    Sudoplatov, S. V.
    ALGEBRA AND LOGIC, 2019, 57 (06) : 429 - 444
  • [48] Algebras of Distributions of Binary Isolating Formulas for Quite o-Minimal Theories
    D. Yu. Emel’yanov
    B. Sh. Kulpeshov
    S. V. Sudoplatov
    Algebra and Logic, 2019, 57 : 429 - 444
  • [49] Filling certain cuts in discrete weakly o-minimal structures
    Leonesi, S
    Toffalori, C
    MATHEMATICAL LOGIC QUARTERLY, 2005, 51 (02) : 145 - 153
  • [50] TOPOLOGICAL PROPERTIES OF SETS DEFINABLE IN WEAKLY O-MINIMAL STRUCTURES
    Wencel, Roman
    JOURNAL OF SYMBOLIC LOGIC, 2010, 75 (03) : 841 - 867