Gorenstein homological dimensions for extriangulated categories
From MaRDI portal
Publication:2045257
DOI10.1007/s40840-020-01057-9zbMath1477.18029arXiv1908.00931OpenAlexW3120537069MaRDI QIDQ2045257
Jiangsheng Hu, Panyue Zhou, Dongdong Zhang
Publication date: 12 August 2021
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00931
Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Derived categories, triangulated categories (18G80)
Related Items
One-sided Frobenius pairs in extriangulated categories, Almost split triangles in pre-extriangulated categories, Homotopical algebra from cotorsion pairs in extriangulated categories, đ˛(Ξ)-Gorenstein objects in extriangulated categories, Unnamed Item, Balance of complete cohomology in extriangulated categories, Resolving subcategories and dimensions in recollements of extriangulated categories
Cites Work
- Unnamed Item
- Unnamed Item
- Gorenstein homological dimensions for triangulated categories
- Homotopy equivalences induced by balanced pairs
- Thick subcategories and virtually Gorenstein algebras.
- Strongly Gorenstein projective, injective, and flat modules
- Complete cohomological functors on groups
- Triangulated quotient categories revisited
- Smashing subcategories and the telescope conjecture -- an algebraic approach
- Relative homological algebra
- Relative homological algebra and purity in triangulated categories
- Gorenstein homology, relative pure homology and virtually Gorenstein rings
- Proper classes and Gorensteinness in extriangulated categories
- Tate cohomology and Gorensteinness for triangulated categories
- The Grothendieck duality theorem via Bousfieldâs techniques and Brown representability
- Balanced pairs, cotorsion triplets and quiver representations
- Global Gorenstein dimensions
- Applications of exact structures in abelian categories