The dual of the homotopy category of projective modules satisfies Brown representability

DOI10.1112/blms/bdu039zbMath1314.18015arXiv1308.0113OpenAlexW3104670250MaRDI QIDQ5495347

George Ciprian Modoi

Publication date: 4 August 2014

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

Full work available at URL: https://arxiv.org/abs/1308.0113

zbMATH Keywords

homotopy categoryprojective modulesBrown representabilitytriangulated categorycomplexescategories with productshomological functorcohomological functorcategories with coproductsfunctor preserving productsfunctor sending coproducts into products

Mathematics Subject Classification ID

Related Items (3)

Weight structures cogenerated by weak cocompact objects ⋮ The dual of Brown representability for some derived categories ⋮ Constructing cogenerators in triangulated categories and Brown representability

Cites Work

• Cohomology theories
• The homotopy category of flat modules, and Grothendieck duality
• Some adjoints in homotopy categories
• Brown representability for the dual
• The homotopy category of complexes of projective modules
• The dual of Brown representability for homotopy categories of complexes
• Triangulated Categories
• Brown representability follows from Rosický's theorem
• On Perfectly Generating Projective Classes in Triangulated Categories
• Explicit cogenerators for the homotopy category of projective modules over a ring

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