Representation embeddings and the Ziegler spectrum
DOI10.1016/0022-4049(95)00155-7zbMath0903.16001OpenAlexW2009259385MaRDI QIDQ1126247
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
categories of modulesZiegler spectrummodel theory of moduleselementary classes of modulesfinitely generated progeneratorsindecomposable pure injective modulesrepresentation embeddings
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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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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