Direct product decomposition of theories of modules

DOI10.2307/2273705zbMath0438.03038OpenAlexW2162170609MaRDI QIDQ3879219

Steven Garavaglia

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2307/2273705

zbMATH Keywords

model theory of modulescommutative von Neumann regular ringdirect product decomposition of theories of modules

Mathematics Subject Classification ID

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

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Cites Work

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• Rings for which every module is a direct sum of cyclic modules
• Horn sentences
• Model-completions and modules
• Fundamenta Mathematicae: An Examination of Its Founding and Significance
• The elementary theory of abelian groups