scientific article; zbMATH DE number 1036692

zbMath0882.03039arXivmath/9602216MaRDI QIDQ4344958

Oren Kolman, Saharon Shelah

Publication date: 12 March 1998

Full work available at URL: https://arxiv.org/abs/math/9602216

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zbMATH Keywords

categoricityamalgamation propertyclassification theory in nonelementary classes

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Ultraproducts and related constructions (03C20) Other infinitary logic (03C75) Categoricity and completeness of theories (03C35)

Related Items (15)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Superstability and symmetry ⋮ Saturation and solvability in abstract elementary classes with amalgamation ⋮ On universal modules with pure embeddings ⋮ Superstability, Noetherian rings and pure-semisimple rings ⋮ Forking in short and tame abstract elementary classes ⋮ Categoricity in abstract elementary classes with no maximal models ⋮ Categoricity of an abstract elementary class in two successive cardinals ⋮ Downward categoricity from a successor inside a good frame ⋮ On superstability in the class of flat modules and perfect rings ⋮ The categoricity spectrum of large abstract elementary classes ⋮ Algebraic description of limit models in classes of abelian groups ⋮ Categoricity for abstract classes with amalgamation ⋮ Toward categoricity for classes with no maximal models ⋮ Ranks and pregeometries in finite diagrams

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