Model theory of functors: Axiomatizability problems

DOI10.1016/S0022-4049(96)00031-XzbMath0947.03053MaRDI QIDQ1361202

Yefim Katsov

Publication date: 7 November 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

axiomatizabilityfunctor categoriesflat functorsinjective functorsprojective functorsadditive functorsabelian-group-valued functorsmany-sorted model theorysmall preadditive categories

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Preadditive, additive categories (18E05) Basic properties of first-order languages and structures (03C07) Functor categories, comma categories (18A25)

Related Items (1)

Definable additive categories: purity and model theory

Cites Work

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• Perfect categories. I
• On colimits of injectives in Grothendieck categories
• Perfect categories. IV: Quasi-Frobenius categories
• Model theory
• Purity in functor categories
• Flat and coherent functors
• Rings with several objects
• Die Zulässigkeit der Behandlung mehrsortiger Theorien mittels der üblichen einsortigen Prädikatenlogik
• Direct Products of Modules
• Some applications of module theory to functor categories
• Model-completions and modules
• Definability problems for modules and rings

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