Imaginary modules

DOI10.2307/2275302zbMath0768.03018OpenAlexW4237905911MaRDI QIDQ4032653

Thomas Kucera, M. Y. Prest

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.2307/2275302

zbMATH Keywords

regularitydominationforkingmodel theory of modulesAbelian structuresimaginary universe

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

Unnamed Item, The theory of modules of separably closed fields. II., The regular hierarchy in modules, Interpreting modules in modules, Representation embeddings, interpretation functors and controlled wild algebras, How to construct a `concrete' superdecomposable pure-injective module over a string algebra., Unidimensional modules: Uniqueness of maximal non-modular submodels, Remarks on elementary duality, Structure sheaves of definable additive categories, Definable additive categories: purity and model theory, Modules as exact functors, Bézout domains and lattice-valued modules, Valued modules on skew polynomial rings and Bézout domains, Multisorted modules and their model theory

Cites Work

• Unnamed Item
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• Model theory of modules
• Stone duality for first order logic
• Some remarks on modular regular types
• Four concepts from “geometrical” stability theory in modules