Kaplansky test problem for \(R\)-modules

DOI10.1007/BF02777818zbMath0751.16002MaRDI QIDQ1180403

Saharon Shelah

Publication date: 27 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

direct sumsendomorphism algebras\(V=L\)cartesian productsKaplansky's test problemsessentially indecomposable modulessmall endomorphismssummands of small cardinality

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Applications of logic in associative algebras (16B70)

Related Items (5)

On the Schröder-Bernstein property for modules ⋮ When mutually epimorphic modules are isomorphic ⋮ Kaplansky test problem for \(R\)-modules ⋮ Accessible subcategories of modules and pathological objects ⋮ On Corner type endo-wild algebras.

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