On the abelianization of derived categories and a negative solution to Rosický’s problem

DOI10.1112/S0010437X12000413zbMath1275.18027arXiv1102.3240MaRDI QIDQ4904427

Jan Šťovíček, Silvana Bazzoni

Publication date: 29 January 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3240

zbMATH Keywords

derived categorypurityAdams representabilityhigher pure global dimension

Mathematics Subject Classification ID

Related Items (2)

Combinatorial Homotopy Categories ⋮ Transfinite Adams representability

Cites Work

• Brown representability test problems in locally Grothendieck categories
• Cohomology theories
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• Chain complexes and stable categories
• A homological approach to representations of algebras. I: The wild case
• A homological approach to representations of algebras. II: Tame hereditary algebras
• Relative homological algebra and purity in triangulated categories
• A family of functors defined on generalized primary groups
• Homology and direct sums of countable abelian groups
• The structure of abelian p-groups given by certain presentations
• A variant of E. H. Brown's representability theorem
• On a theorem of Brown and Adams
• Exact categories
• The pure-projective dimension of torsion-free divisible modules
• Brown representability follows from Rosický's theorem
• Morita Theory for Derived Categories
• The Homological Dimension of a Quotient Field
• A countability condition for primary groups presented by relations of length two
• The structure of torsion abelian groups given by presentations
• Des catégories abéliennes
• Failure of Brown representability in derived categories

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