A cotorsion theory in the homotopy category of flat quasi-coherent sheaves

DOI10.1090/S0002-9939-2012-11364-4zbMath1264.18016MaRDI QIDQ4907106

Esmaeil Hosseini, Shokrollah Salarian

Publication date: 4 March 2013

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

zbMATH Keywords

homotopy categorycotorsion theoryadjoint functorsquasi-coherent sheavesdualizing complex

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (5)

Flat quasi-coherent sheaves of finite cotorsion dimension ⋮ Locally torsion-free quasi-coherent sheaves ⋮ The homotopy category of cotorsion flat modules ⋮ The pure derived category of quasi-coherent sheaves ⋮ Bounded complexes of cotorsion sheaves

Cites Work

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• Cohomology theories based on flats
• Relative homological algebra in the category of quasi-coherent sheaves.
• Covers and directed colimits.
• The derived category of quasi-coherent sheaves and axiomatic stable homotopy
• The homotopy category of flat modules, and Grothendieck duality
• Some adjoints in homotopy categories
• Flat covers of complexes
• Cotorsion pairs in \(\mathbf{C}(R-\text{Mod})\)
• Acyclicity versus total acyclicity for complexes over noetherian rings
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications

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