Some model theory of modules. I. On total transcendence of modules

DOI10.2307/2273448zbMath0524.03018OpenAlexW2074672244MaRDI QIDQ3037397

Philipp Rothmaler

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/2273448

zbMATH Keywords

positive primitive formulaequational compactnessdefinable subgroupsmodules over an associative ringpositive primitive subgroupstotal transcendence

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Other classes of modules and ideals in associative algebras (16D80) Classification theory, stability, and related concepts in model theory (03C45) Equational compactness (08A45)

Related Items (3)

Totally transcendental theories of modules: Decomposition of models and types ⋮ Characterizations of Chain Conditions on Finite Matrix Subgroups ⋮ Rings of finite representation type and modules of finite Morley rank

Cites Work

• Unnamed Item
• Algebraically compact rings and modules
• Direct product decomposition of theories of modules
• Model-completions and modules

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