Flat Mittag-Leffler modules over countable rings

DOI10.1090/S0002-9939-2011-11070-0zbMath1256.16003arXiv1007.4977WikidataQ105335909 ScholiaQ105335909MaRDI QIDQ5390204

Jan Šťovíček, Silvana Bazzoni

Publication date: 27 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4977

zbMATH Keywords

precoversExt-orthogonal classesflat Mittag-Leffler modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30)

Related Items (7)

The defect functor of a homomorphism and direct unions ⋮ Approximations and Mittag-Leffler conditions the tools ⋮ The cotorsion pair generated by the class of flat Mittag-Leffler modules ⋮ Almost free modules and Mittag-Leffler conditions. ⋮ Recent Progress in Module Approximations ⋮ Test sets for factorization properties of modules ⋮ Tree modules and limits of the approximation theory

Cites Work

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• Almost free modules and Mittag-Leffler conditions.
• Model category structures arising from Drinfeld vector bundles
• Approximations and endomorphism algebras of modules.
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• On a subfunctor of Ext
• Mittat-Leffler conditions on modules
• Cotilting modules are pure-injective

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