Behavior of countably generated pure-projective modules

DOI10.5565/PUBLMAT_362A92_04zbMath0792.16001WikidataQ105666642 ScholiaQ105666642MaRDI QIDQ1802360

Goro Azumaya

Publication date: 7 August 1994

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41720

zbMATH Keywords

short exact sequencedirect summandfinitely generated submodulespure submoduleleft \(R\)-modulesleft pure-semisimple ringscountably generated pure-projective modulescountably presented left \(R\)-moduleindecomposable submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) 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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Rings whose cyclic modules are pure-injective or pure-projective, Pure-direct-injective modules, The opposite of injectivity by proper classes