ℵ0-categorical modules

DOI10.2307/2271901zbMath0309.02059OpenAlexW1973598507MaRDI QIDQ4067095

Walter Baur

Publication date: 1975

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

Full work available at URL: https://doi.org/10.2307/2271901

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Categoricity and completeness of theories (03C35) Representation theory of associative rings and algebras (16Gxx)

Related Items (14)

Model theory of modules ⋮ Counting models in universal Horn classes ⋮ On ω-categorical groups and their completions ⋮ On \(\aleph_0\)-categorical Abelian-by-finite groups ⋮ Totally categorical groups and rings ⋮ Encoding orders and trees in binary relations ⋮ Undecidability of the Theory of Abelian Groups with a Subgroup ⋮ \(JSp\)-cosemanticness of \(R\)-modules ⋮ On \(\aleph_ 0\)-categorical class two groups ⋮ On the size of congruence lattices for models of theories with definability of congruences ⋮ Rings of finite representation type and modules of finite Morley rank ⋮ Modules ⋮ Modules with an almost categorical theory ⋮ SOME STABLE NON-ELEMENTARY CLASSES OF MODULES

Cites Work

• Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring
• Purity and algebraic compactness for modules
• Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory
• Model-completions and modules
• The elementary theory of abelian groups

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