Elementary Duality of Modules

DOI10.2307/2154545zbMath0815.16002OpenAlexW4252361102MaRDI QIDQ4276556

Ivo Herzog

Publication date: 27 April 1994

Full work available at URL: https://doi.org/10.2307/2154545

zbMATH Keywords

dualityMorita dualityabsolutely pure moduleselementary dualityZiegler spectratotally transcendental modulescategories of finitely presented modulesmodules over Dedekind domains\(pp\) formula\(pp\)-definable morphisms\(pp\)-simple indecomposablesfinitely presented additive functorsincomplete theory of left modulesmodel theories of right and left modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Applications of logic in associative algebras (16B70)

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Cites Work

• Model theory of modules
• On the Sparsity of Representations of Rings of Pure Global Dimension Zero
• Model-completions and modules
• Definability problems for modules and rings
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