Model completeness of certain theories of modules

DOI10.1007/BF01987821zbMath0512.03017MaRDI QIDQ1839247

L. V. Tyukavkin

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/187166

zbMATH Keywords

ringJacobson radicalidealmodel completeNoetherian ringArtinian ringsimple ringinjective left R-modulesR-modulesinfinite simple von Neumann regular ring

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Axiomatic model classes (08C10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Quantifier elimination for modules

Cites Work

• Model-completions and modules
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