Finiteness conditions and relative singularity categories

DOI10.1007/s10114-022-1072-zOpenAlexW4293317535MaRDI QIDQ2674393

Chun-Xia Zhang

Publication date: 12 September 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1072-z

zbMATH Keywords

\(n\)-pure derived category\(n\)-pure global dimension\(n\)-pure injective dimension\(n\)-pure projective dimension\(n\)-pure singularity category

Mathematics Subject Classification ID

Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35)

Cites Work

• On pure derived categories
• Finiteness conditions and cotorsion pairs
• Homological dimensions of unbounded complexes
• Purity and algebraic compactness for modules
• Finiteness conditions and relative derived categories
• The spectrum of a module category
• Pure derived and pure singularity categories
• Tame Algebras and Generic Modules
• On pure global dimension of locally finitely presented Grothendieck categories
• The Ziegler Spectrum of a Locally Coherent Grothendieck Category
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Quillen model structures for relative homological algebra
• Pure exact structures and the pure derived category of a scheme
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