Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs

DOI10.1142/S0219498818501803zbMath1420.18028OpenAlexW2754615865MaRDI QIDQ4585780

Liu, Zhongkui, Wenjing Chen, Xiao Yan Yang

Publication date: 7 September 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501803

zbMATH Keywords

compactly generated triangulated categoryadjoint paircotorsion pairGorenstein \(\widetilde{\mathcal{X}}\)-complex

Mathematics Subject Classification ID

Related Items (1)

A new method to construct model structures from a cotorsion pair

Cites Work

• Unnamed Item
• Homotopy category of projective complexes and complexes of Gorenstein projective modules.
• Some remarks on projective generators and injective cogenerators
• Totally acyclic complexes over noetherian schemes
• Compactly generated homotopy categories
• On a question of Gillespie
• The homotopy category of flat modules, and Grothendieck duality
• The homotopy category of complexes of projective modules
• Acyclicity versus total acyclicity for complexes over noetherian rings
• Gorenstein complexes and recollements from cotorsion pairs
• Triangulated Categories
• Gorenstein Projective, Injective, and Flat Complexes
• Cotorsion pairs and model structures on Ch(R)
• The flat model structure on 𝐂𝐡(𝐑)
• Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs
• the stable derived category of a noetherian scheme

This page was built for publication: Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs