\(\omega\)-stable structures of small CB-rank

DOI10.1007/BF01762367zbMath0636.03029MaRDI QIDQ1097874

Carlo Toffalori

Publication date: 1987

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Cantor-Bendixson rank\(\omega \)-stable structuresCantor-Bendixson spectrumclassification of \(\omega \)-stable groups and rings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Cites Work

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• The number of uncountable models of \(\omega\)-stable theories
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• Cantor-Bendixson spectra of \(\omega\)-stable theories
• Groups of small Morley rank
• Categoricity and stability of commutative rings
• The elementary theory of abelian groups