Finitely Presented Right Modules Over a Left Pure-Semisimple Ring

DOI10.1112/blms/26.4.333zbMath0819.16002OpenAlexW2063033859MaRDI QIDQ4835701

Ivo Herzog

Publication date: 22 August 1995

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/26.4.333

zbMATH Keywords

direct sumsmonomorphismspure morphismsleft \(R\)-modulesleft pure-semisimple rings\(\Sigma\)-pure-injective modulesfinitely presented right \(R\)-modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Free, projective, and flat modules and ideals in associative algebras (16D40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) 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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

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