The generalised RK-order, orthogonality and regular types for modules

DOI10.2307/2273799zbMath0614.03029OpenAlexW1979286584MaRDI QIDQ4722050

M. Y. Prest

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/2273799

zbMATH Keywords

regularityorthogonalitydominationpure-injective modulestypes of elementstuples of elementsgeneralized Rudin-Keisler order

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Structure, classification theorems for modules and ideals in commutative rings (13C05) Applications of logic to commutative algebra (13L05)

Related Items

Model theory of modules, Unnamed Item, Modules and Stability Theory, Four concepts from “geometrical” stability theory in modules, Totally transcendental theories of modules: Decomposition of models and types, European Summer Meeting of the Association for Symbolic Logic, Paris, 1985, Rings of finite representation type and modules of finite Morley rank

Cites Work

• Model theory of modules
• Forking in modules
• Elimination of quantifiers for modules
• Modules which are isomorphic to submodules of each other
• Direct product decomposition of theories of modules
• Ordre de Rudin‐Keisler et Poids Dans les Theories Stables