Uniqueness and characterization of prime models over sets for totally transcendental first-order theories

DOI10.2307/2272553zbMath0247.02047OpenAlexW2093337906MaRDI QIDQ5659526

Saharon Shelah

Publication date: 1972

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2272553

Mathematics Subject Classification ID

Other classical first-order model theory (03C68)

Related Items

IN MEMORIAM: MICHAEL MORLEY, 1930–2020, Axiomatizable classes with strong homomorphisms, Shelah rank for Boolean algebras and some application to elementary theories. I, Constrained extensions of differential fields, Computing constraint sets for differential fields, Rank functions in stable theories, The differential closure of a differential field, Differentially closed fields, On uniqueness of prime models, The model theory of differential fields revisited, On model complete differential fields, An inelastic model with indiscernibles, Prime and atomic models, Decomposition of totally transcendental modules, A.D. Taimanov and model theory in Kazakhstan, Adapting Rabin’s Theorem for Differential Fields, Definable Sets in Ordered Structures. I, A survey of basic stability theory, with particular emphasis on orthogonality and regular types, Classification of superstable theories by rank functions

Cites Work

• Unnamed Item
• Countable models of \(\aleph_ 1\)-categorical theories