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  1. The Group Configuration in Simple Theories and its Applications.Itay Ben-Yaacov, Ivan Tomašić & Frank O. Wagner - 2002 - Bulletin of Symbolic Logic 8 (2):283-298.
    In recent work, the authors have established the group configuration theorem for simple theories, as well as some of its main applications from geometric stability theory, such as the binding group theorem, or in the $\omega$-categorical case, the characterization of the forking geometry of a finitely based non-trivial locally modular regular type as projective geometry over a finite field and the equivalence of pseudolinearity and local modularity. The proof necessitated an extension of the model-theoretic framework to include almost hyperimaginaries, and (...)
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  • On Relationships Between Algebraic Properties of Groups and Rings in Some Model-Theoretic Contexts.Krzysztof Krupiński - 2011 - Journal of Symbolic Logic 76 (4):1403-1417.
    We study relationships between certain algebraic properties of groups and rings definable in a first order structure or *-closed in a compact G-space. As a consequence, we obtain a few structural results about ω-categorical rings as well as about small, nm-stable compact G-rings, and we also obtain surprising relationships between some conjectures concerning small profinite groups.
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  • 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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  • Definable Nilpotent and Soluble Envelopes in Groups Without the Independence Property.Ricardo de Aldama - 2013 - Mathematical Logic Quarterly 59 (3):201-205.
  • On Ω-Categorical, Generically Stable Groups and Rings.Jan Dobrowolski & Krzysztof Krupiński - 2013 - Annals of Pure and Applied Logic 164 (7-8):802-812.
    We prove that every ω-categorical, generically stable group is nilpotent-by-finite and that every ω-categorical, generically stable ring is nilpotent-by-finite.
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