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Viktor Verbovskiy [4]Viktor V. Verbovskiy [1]
  1.  22
    On a Classification of Theories Without the Independence Property.Viktor Verbovskiy - 2013 - Mathematical Logic Quarterly 59 (1-2):119-124.
    A theory is stable up to Δ if any Δ-type over a model has a few extensions up to complete types. We prove that a theory has no the independence property iff it is stable up to some Δ, where each equation image has no the independence property.
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  2.  23
    Coset-Minimal Groups.Oleg Belegradek, Viktor Verbovskiy & Frank O. Wagner - 2003 - Annals of Pure and Applied Logic 121 (2-3):113-143.
    A totally ordered group G is called coset-minimal if every definable subset of G is a finite union of cosets of definable subgroups intersected with intervals with endpoints in G{±∞}. Continuing work in Belegradek et al. 1115) and Point and Wagner 261), we study coset-minimality, as well as two weak versions of the notion: eventual and ultimate coset-minimality. These groups are abelian; an eventually coset-minimal group, as a pure ordered group, is an ordered abelian group of finite regular rank. Any (...)
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  3.  2
    On Definability of Types and Relative Stability.Viktor Verbovskiy - 2019 - Mathematical Logic Quarterly 65 (3):332-346.
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  4.  20
    CM-Triviality and Relational Structures.Viktor Verbovskiy & Ikuo Yoneda - 2003 - Annals of Pure and Applied Logic 122 (1-3):175-194.
    Continuing work of Baldwin and Shi 1), we study non-ω-saturated generic structures of the ab initio Hrushovski construction with amalgamation over closed sets. We show that they are CM-trivial with weak elimination of imaginaries. Our main tool is a new characterization of non-forking in these theories.
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  5.  6
    On Weakly Circularly Minimal Groups.Beibut Sh Kulpeshov & Viktor V. Verbovskiy - 2015 - Mathematical Logic Quarterly 61 (1-2):82-90.
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