Minimal modules over Prüfer rings

DOI10.1007/BF01980250zbMath0774.03021MaRDI QIDQ1803025

V. A. Puninskaya, G. E. Puninskij

Publication date: 29 June 1993

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

categoricitycommutative ringsminimal modulesmodel theory of modulesPrüfer rings\(R\)-torsion

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

• Model theory of modules
• Relative injectivity and pure-injective modules over Prüfer rings
• Elimination of quantifiers for modules
• Model-completions and modules
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