Modules and Stability Theory
From MaRDI portal
Publication:4726232
DOI10.2307/2000361zbMath0617.03018OpenAlexW4250261608MaRDI QIDQ4726232
Publication date: 1987
Full work available at URL: https://doi.org/10.2307/2000361
spectrumpure-injective modulesmodel theory of modulesregular typestotally transcendental modulesmonster modelstrong typessaturated modulesnonmultidimensionalitystability rankssuperstable modulesunlimited types
Model-theoretic algebra (03C60) Structure, classification theorems for modules and ideals in commutative rings (13C05) Classification theory, stability, and related concepts in model theory (03C45)
Related Items
Saturated free algebras and almost indiscernible theories, Krull-Gabriel dimension of 1-domestic string algebras., Non-totally transcendental unidimensional theories, Torsion-free, Divisible, and Mittag-Leffler Modules
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Model theory of modules
- Forking in modules
- Ranks and definability in superstable theories
- Elimination of quantifiers for modules
- Some model theory of modules. II. on stability and categoricity of flat modules
- STATIONARY TYPES IN MODULESS
- Relation entre le rang U et le poids
- An introduction to forking
- Direct product decomposition of theories of modules
- Decomposition of totally transcendental modules
- Sous-groupes définissables d'un groupe stable
- Rein injektive direkte summen von moduln
- On the number of minimal models
- The generalised RK-order, orthogonality and regular types for modules
- Forking and Pushouts in Modules
- On $ω_1$-categorical theories of fields