Minimalities and Modules over Dedekind-Like Rings

DOI10.1080/00927870600650465zbMath1110.03018OpenAlexW1976374824MaRDI QIDQ5489289

Sonia L'Innocente, Carlo Toffalori, V. Puninskaya

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600650465

zbMATH Keywords

Gorenstein ringDedekind domainPrüfer domainDedekind-like ringconnected module with regular genericsDedekind pullbackquasi-minimal module

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) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

Minimal Modules Over Serial Rings, Weakly minimal modules over integral group rings and over related classes of rings

Cites Work

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• On locally modular, weakly minimal theories
• Modules over Dedekind-like rings
• Model theory of modules
• Strongly minimal modules
• 1-dimensional Cohen-Macaulay rings
• On the ubiquity of Gorenstein rings
• ∑–pure—injective modules over a commutative prüfer ring
• Strongly Minimal Modules Over Group Rings
• Weakly minimal modules over integral group rings and over related classes of rings