WHEN ARE PURE-INJECTIVE ENVELOPES OF FLAT MODULES FLAT?

DOI10.1081/AGB-120004010zbMath1019.16001OpenAlexW2159696408MaRDI QIDQ4552448

Philipp Rothmaler

Publication date: 3 September 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120004010

zbMATH Keywords

flat coverscoherent ringspure-injective modulesflat cotorsion modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) 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)

Related Items (6)

Relative Homological Algebra for the Proper Class ω_f ⋮ The phantom cover of a module. ⋮ On max-flat and max-cotorsion modules ⋮ On superstability in the class of flat modules and perfect rings ⋮ Characterizing categoricity in several classes of modules ⋮ SOME STABLE NON-ELEMENTARY CLASSES OF MODULES

Cites Work

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• Injective and flat covers, envelopes and resolvents
• Algebraically compact rings and modules
• Flat covers of modules
• Absolutely pure and flat modules and ``indiscrete rings
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Some model theory of modules. II. on stability and categoricity of flat modules
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Rein injektive direkte summen von moduln
• Definability problems for modules and rings

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