Countably Categorical Structures with n-Degenerate Algebraic Closure

DOI10.1002/MALQ.19990450108zbMath0924.03051OpenAlexW1981504708MaRDI QIDQ4238428

Evgueni Vassiliev

Publication date: 15 November 1999

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.19990450108

zbMATH Keywords

degeneracystable theoryuniversal theoryindiscernible set\(\omega\)-categorical structuresabsolutely ubiquitous structure\(\omega\)-categorical theory\(n\)-degenerate algebraic closuredistributive lattice of algebraically closed subsetshomogeneous \(J\)-tree

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Equational classes, universal algebra in model theory (03C05) Categoricity and completeness of theories (03C35)

Cites Work

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• Union decompositions and universal classes categorical in power
• Universal theories categorical in power and \(\kappa\)-generated models
• ABSOLUTELY UBIQUITOUS STRUCTURES AND N₀-CATEGORICAL GROUPS
• Stable Absolutely Ubiquitous Structures

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