Rings over which all modules of a given type are almost categorical

DOI10.1007/BF01979704zbMath0584.03025OpenAlexW2068485483MaRDI QIDQ1070225

E. M. Kremer

Publication date: 1984

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187261

zbMATH Keywords

almost categoricityinjective left R-modulesleft perfect and right coherent ringprojective left R-modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Axiomatic model classes (08C10) Categoricity and completeness of theories (03C35)

Related Items

Axiomatizability and completeness of some classes of \(S\)-polygons

Cites Work

• A non-two-cardinal set of stable types
• Elimination of quantifiers for modules
• Locally graded groups, factorizable by subgroups of finite rank
• Almost categorical theories
• Decomposition of totally transcendental modules
• Discussion of some objections to thermomechanical orthogonality
• Model-completions and modules
• Definability problems for modules and rings
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