Classifying totally categorical groups (and others)

DOI10.1016/0168-0072(95)00012-7zbMath0854.03038OpenAlexW2047909419MaRDI QIDQ1919528

Katrin Tent

Publication date: 13 January 1997

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(95)00012-7

zbMATH Keywords

definable groupirreduciblesunidimensional theorybasic groupessentially pure modulelocal finiteness assumptionmodular closureone-based theorytotally categorical theory

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Categoricity and completeness of theories (03C35)

Cites Work

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• Locally modular theories of finite rank
• Unidimensional theories are superstable
• Vaught's conjecture for superstable theories of finite rank
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• Model theory of modules
• Elimination of quantifiers for modules
• Relation entre le rang U et le poids
• Uncountable theories that are categorical in a higher power
• On one-based theories

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