Minimal Modules Over Serial Rings

DOI10.1080/00927870802068276zbMath1152.03027OpenAlexW2082996481MaRDI QIDQ3514795

V. Puninskaya, Carlo Toffalori, Sonia L'Innocente

Publication date: 23 July 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802068276

zbMATH Keywords

model theorymoduleuniserial ringserial ringstrongly minimalweakly minimalpseudo-strongly minimalquasi minimal

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Classification theory, stability, and related concepts in model theory (03C45)

Cites Work

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• On locally modular, weakly minimal theories
• Model theory of modules
• Strongly minimal modules
• \(\Sigma\)-injective modules over left duo and left distributive rings
• Strongly Minimal Modules Over Group Rings
• Minimalities and Modules over Dedekind-Like Rings
• Weakly minimal modules over integral group rings and over related classes of rings
• Weakly minimal groups of unbounded exponent

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