Rings of pure global dimension zero and Mittag-Leffler modules

DOI10.1016/0022-4049(89)90146-1zbMath0693.16017OpenAlexW2007799054WikidataQ105666598 ScholiaQ105666598MaRDI QIDQ584361

Alberto Facchini, Goro Azumaya

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90146-1

zbMATH Keywords

Mittag-Leffler modulesleft pure global dimensionpure countably generated pure-projective submodule

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension in associative algebras (16E10) Representation theory of associative rings and algebras (16Gxx)

Related Items

On the Pure-injectivity Profile of a Ring, Pure-direct-injective modules, Modules with chain conditions for finite matrix subgroups, Modules and abelian groups with a bounded domain of injectivity, Approximations and Mittag-Leffler conditions the tools, Anelli di tipo di rappresentazione finita, di dimensione pura globale zero, e Moduli di Mittag-Leffler, Mittag-Leffler modules, Brown representability often fails for homotopy categories of complexes, Copure direct injective modules, Modules and abelian groups with minimal (pure-) projectivity domains, Almost free modules and Mittag-Leffler conditions., Model category structures arising from Drinfeld vector bundles, Mittag-Leffler modules, reduced products, and direct products, Mixed Abelian Groups with Artinian Quasi-Endomorphism Ring, Strict Mittag-Leffler modules and purely generated classes, Strict Mittag-Leffler conditions and Gorenstein modules, FP-PROJECTIVE DIMENSIONS, Indecomposable decompositions of pure-injective objects and the pure-semisimplicity., Pure-projective modules and positive constructibility, Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules, Mittag-Leffler modules and semi-hereditary rings, Torsion-free, Divisible, and Mittag-Leffler Modules

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