This volume is a collection of papers on model theory and its applications. The longest paper, ""Model Theory of Unitriangular Groups"" by O. V. Belegradek, forms a subtle general theory behind Maltsev's famous correspondence between rings and groups. This is the first published paper on the topic. Given the present model-theoretic interest in algebraic groups, Belegradek's work is of particular interest to logicians and algebraists. The rest of the collection consists of papers on various questions of model theory, mainly on stability theory. Contributors of this title are leading Russian researchers in the field.
Model theory of unitriangular groups by O. V. Belegradek Model theory of locally free algebras by O. V. Belegradek Model theory based on the notion of truth in the constructive sense by A. A. Voronkov Hereditarily transitive groups and quasi-Urbanik structures by B. I. Zilber The number of homogeneous models of a complete theory by K. Zh. Kudaibergenov The stability theory of polygons by T. G. Mustafin Horn theories with nonmaximal spectrum by E. A. Palyutin and S. S. Starchenko The number of models of complete theories of unars by A. N. Ryaskin Finitely axiomatizable theories and similarity relations by M. G. Peretyatkin.