Recent Progress in Module Approximations

DOI10.1007/978-3-319-51718-6_9zbMath1436.16009OpenAlexW2621355111WikidataQ57571072 ScholiaQ57571072MaRDI QIDQ3298252

Jan Trlifaj

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_9

zbMATH Keywords

approximations of modulesinfinite dimensional tilting theoryset-theoretic homological algebrasilting classes and modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Modules, bimodules and ideals in associative algebras (16D99)

Cites Work

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• Almost free modules and Mittag-Leffler conditions.
• Model category structures arising from Drinfeld vector bundles
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• Approximations and Mittag-Leffler conditions the applications
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• ALL MODULES HAVE FLAT COVERS
• CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS
• Silting Modules over Commutative Rings
• Flat Mittag-Leffler modules over countable rings
• Approximations and locally free modules
• -tilting theory
• Tilting, cotilting, and spectra of commutative noetherian rings