Representation embeddings and the Ziegler spectrum

DOI10.1016/0022-4049(95)00155-7zbMath0903.16001OpenAlexW2009259385MaRDI QIDQ1126247

M. Y. Prest

Publication date: 28 October 1998

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00155-7

zbMATH Keywords

categories of modulesZiegler spectrummodel theory of moduleselementary classes of modulesfinitely generated progeneratorsindecomposable pure injective modulesrepresentation embeddings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Applications of logic in associative algebras (16B70)

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Unnamed Item, Krull-Gabriel dimension of 1-domestic string algebras., Interpreting modules in modules, Representation embeddings, interpretation functors and controlled wild algebras, Krull–Gabriel dimension of domestic string algebras, A Generalised character theory for modules, Definable additive categories: purity and model theory, Exactly definable categories, Modules with few types over some finite-dimensional algebras

Cites Work

• Model theory of modules
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Decidability for Theories of Modules
• Wild representation type and undecidability
• Four concepts from “geometrical” stability theory in modules
• Elementary Duality of Modules
• Epimorphisms of rings, interpretations of modules and strictly wild algebras
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