Decomposition of totally transcendental modules

DOI10.2307/2273362zbMath0453.03036OpenAlexW2045369580MaRDI QIDQ3900038

Steven Garavaglia

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/2273362

zbMATH Keywords

direct sumartinian modules over commutative ringsinjective modules over noetherian ringsmodules with quantifier elimination over noetherian ringsomega-categorical modules over countable ringsprojective modules over left-perfect right- coherent rings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60)

Related Items

Model theory of modules, On \(\Sigma\)-pure-injective modules over valuation domains, A test for finite representation type, Unnamed Item, Modules and Stability Theory, Counting models in universal Horn classes, Model-theoretic aspects of \(\Sigma\)-cotorsion modules, A note on torsion modules with pure embeddings, Kaplansky test problem for \(R\)-modules, Modules with few types, Sigma-cotorsion rings., Modules with few types over a commutative valuation ring, The theory of ordinal length, Definable additive categories: purity and model theory, Totally transcendental theories of modules: Decomposition of models and types, Vaught's Conjecture and Group Rings, On superstability in the class of flat modules and perfect rings, Rings of finite representation type and modules of finite Morley rank, ∑–pure—injective modules over a commutative prüfer ring, Modules with an almost categorical theory, Rings over which all modules of a given type are almost categorical

Cites Work

• Injective modules over Noetherian rings
• Projective modules
• Elimination of quantifiers for modules
• Model-completions and modules
• Fundamenta Mathematicae: An Examination of Its Founding and Significance
• Uniqueness and characterization of prime models over sets for totally transcendental first-order theories
• Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem