Covering classes and 1-tilting cotorsion pairs over commutative rings

DOI10.1515/forum-2020-0150zbMath1485.13024arXiv2006.01176OpenAlexW3133243476MaRDI QIDQ2126308

Giovanna Le Gros, Silvana Bazzoni

Publication date: 19 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.01176

zbMATH Keywords

cover1-tiltingprojective dimension one

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Rings of fractions and localization for commutative rings (13B30) Module categories and commutative rings (13C60)

Related Items (2)

Flat commutative ring epimorphisms of almost Krull dimension zero ⋮ A characterisation of enveloping 1-tilting classes over commutative rings

Cites Work

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• Approximations and Mittag-Leffler conditions the applications
• Flat covers of modules
• Tilting modules and tilting torsion theories
• \(S\)-almost perfect commutative rings
• Matlis category equivalences for a ring epimorphism
• Flat morphisms of finite presentation are very flat
• Covers and direct limits: a contramodule-based approach
• One dimensional tilting modules are of finite type.
• Noncommutative localizations and applications
• One-tilting classes and modules over commutative rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Direct Products of Modules
• Triangulated Matlis equivalence
• The Tilting–Cotilting Correspondence

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