Proper resolutions and Gorensteinness in extriangulated categories

DOI10.1007/s11464-021-0887-8zbMath1467.18029arXiv2001.11352OpenAlexW3120727751MaRDI QIDQ2040649

Jiangsheng Hu, Panyue Zhou, Dondong Zhang

Publication date: 14 July 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11352

zbMATH Keywords

proper resolutionGorenstein categoriesextriangulated categoriescoproper coresolution

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Derived categories, triangulated categories (18G80)

Related Items

Cut cotorsion pairs ⋮ Almost split triangles in pre-extriangulated categories ⋮ Hovey triples arising from two cotorsion pairs of extriangulated categories ⋮ \(\infty\)-tilting subcategories in extriangulated categories ⋮ 𝒲(ξ)-Gorenstein objects in extriangulated categories ⋮ Unnamed Item ⋮ Resolving subcategories and dimensions in recollements of extriangulated categories

Cites Work

• Unnamed Item
• Notes on proper class of triangles
• Gorenstein homological dimensions for triangulated categories
• Resolving subcategories of triangulated categories and relative homological dimension
• Triangulated quotient categories revisited
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• Proper classes and Gorensteinness in extriangulated categories
• Proper resolutions and gorensteinness in triangulated categories
• Proper resolutions and Gorenstein categories
• Stability of Gorenstein objects in triangulated categories
• MODEL STRUCTURES ON TRIANGULATED CATEGORIES
• Stability of Gorenstein categories