Hypergraphs of prime models and distributions of countable models of small theories

DOI10.1007/s10958-010-0069-9zbMath1229.03032OpenAlexW1982860127MaRDI QIDQ548771

Sergeĭ Vladimirovich Sudoplatov

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0069-9

zbMATH Keywords

hypergraphsprime modelscountable modelsEhrenfeucht theoriessmall theories

Mathematics Subject Classification ID

Hypergraphs (05C65) Model theory of denumerable and separable structures (03C15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theories with constants and three countable models
• Stable theories, pseudoplanes and the number of countable models
• Theories with three countable models
• Classification theory and the number of non-isomorphic models.
• On complete theories with a finite number of denumerable models
• Countable models and unions of theories
• On constants and the strict order property
• Finite groups with seminormal Schmidt subgroups
• On the Number of Countable Models of a Countable Supersimple Theory
• Weight ω in stable theories with few types
• Complete Theories with Finitely Many Countable Models. I
• Complete theories with finitely many countable models. II
• The number of countable models
• On strongly minimal sets