American Mathematical Society TranslationsSeries 2 1999; 346 pp; hardcover Volume: 195 ISBN10: 0821810928 ISBN13: 9780821810927 List Price: US$103 Member Price: US$82.40 Order Code: TRANS2/195
 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 Mal'tsev's famous correspondence between rings and groups. This is the first published paper on the topic. Given the present modeltheoretic 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 are leading Russian researchers in the field. Readership Graduate students and research mathematicians interested in logic and foundations. Table of Contents  O. V. Belegradek  Model theory of unitriangular groups
 O. V. Belegradek  Model theory of locally free algebras
 A. A. Voronkov  Model theory based on the notion of truth in the constructive sense
 B. I. Zil'ber  Hereditarily transitive groups and quasiUrbanik structures
 K. Zh. Kudaibergenov  The number of homogeneous models of a complete theory
 T. G. Mustafin  The stability theory of polygons
 E. A. Palyutin and S. S. Starchenko  Horn theories with nonmaximal spectrum
 A. N. Ryaskin  The number of models of complete theories of unars
 M. G. Peretyat'kin  Finitely axiomatizable theories and similarity relations
