Applications of cotorsion pairs on triangulated categories

DOI10.1007/S41980-018-00202-2zbMath1423.18040OpenAlexW2921328090WikidataQ128261627 ScholiaQ128261627MaRDI QIDQ2330386

Xiaosheng Zhu, Haixia Cheng

Publication date: 22 October 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-00202-2

zbMATH Keywords

relative derived categorycotorsion pairlocalization sequenceGorenstein derive category

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Localization of categories, calculus of fractions (18E35)

Cites Work

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• Homotopy category of projective complexes and complexes of Gorenstein projective modules.
• Relative homological algebra. Vol. 1
• Homotopy equivalences induced by balanced pairs
• Gorenstein derived categories
• Homological dimensions of unbounded complexes
• The flat dimensions of injective modules
• Triangulated equivalence between a homotopy category and a triangulated quotient category
• The homotopy category of complexes of projective modules
• Model structures on modules over Ding-Chen rings.
• Acyclicity versus total acyclicity for complexes over noetherian rings
• Gorenstein complexes and recollements from cotorsion pairs
• Triangulated Categories
• Localization theory for triangulated categories
• Cotorsion pairs and model structures on Ch(R)
• ALL MODULES HAVE FLAT COVERS
• STRONGLY GORENSTEIN FLAT MODULES
• GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• The flat model structure on 𝐂𝐡(𝐑)
• Coherent rings with finite self-FP-injective dimension
• the stable derived category of a noetherian scheme

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