Gorenstein objects in triangulated categories

DOI10.1016/j.jalgebra.2004.07.027zbMath1060.18006OpenAlexW2084590447MaRDI QIDQ706013

Shokrollah Salarian, Javad Asadollahi

Publication date: 16 February 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.027

zbMATH Keywords

triangulated categoryproper class of trianglesrelative Extrelative projective dimension

Mathematics Subject Classification ID

Related Items (18)

Gorenstein projective objects in comma categories ⋮ Resolving subcategories of triangulated categories and relative homological dimension ⋮ Balance of Tate cohomology in triangulated categories ⋮ Gorenstein homological dimensions for triangulated categories ⋮ Relative homological dimensions in recollements of triangulated categories ⋮ 𝒲(ξ)-Gorenstein objects in extriangulated categories ⋮ A new method to construct model structures from left Frobenius pairs in extriangulated categories ⋮ Unnamed Item ⋮ Universal Coefficient Theorems and Assembly Maps in KK-Theory ⋮ $W$-Gorenstein objects in triangulated categories ⋮ Relative singularity categories, Gorenstein objects and silting theory ⋮ Cohomology theories in triangulated categories ⋮ Tate cohomology and Gorensteinness for triangulated categories ⋮ Tilting objects in triangulated categories ⋮ Proper classes and Gorensteinness in extriangulated categories ⋮ On finite resolutions in triangulated categories ⋮ Resolving resolution dimensions in triangulated categories ⋮ MODEL STRUCTURES ON TRIANGULATED CATEGORIES

Cites Work

• Relative homological algebra and purity in triangulated categories
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Triangulated Categories
• Octahedra and braids
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Stable module theory
• Idempotent completion of triangulated categories
• The additivity of traces in triangulated categories
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Gorenstein objects in triangulated categories