2-recollements of singularity categories and Gorenstein defect categories over triangular matrix algebras
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Publication:6624124
DOI10.12386/A20220034MaRDI QIDQ6624124
Dandan Yang, Jiangsheng Hu, HuanHuan Li, Yuefei Zheng
Publication date: 25 October 2024
Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)
Homological dimension (category-theoretic aspects) (18G20) Localization of categories, calculus of fractions (18E35)
Cites Work
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- Reducing homological conjectures by \(n\)-recollements
- Homological theory of recollements of abelian categories
- Gorenstein defect categories of triangular matrix algebras
- Recollements of extension algebras
- Singularity categories, Schur functors and triangular matrix rings
- From CM-finite to CM-free
- Koszul duality
- Reflecting recollements
- Polynomial representations of \(GL_n\)
- Gorenstein homological dimensions.
- When the Schur functor induces a triangle-equivalence between Gorenstein defect categories
- Recollement and idempotent ideals
- Gorenstein-projective modules and symmetric recollements
- Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements
- Good tilting modules and recollements of derived module categories
- Unbounded ladders induced by Gorenstein algebras
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
- Triangulated Equivalences Involving Gorenstein Projective Modules
- Gorenstein projective modules and recollements over triangular matrix rings
- Recollements of Singularity Categories and Monomorphism Categories
- THE GORENSTEIN DEFECT CATEGORY
- Recollements of derived categories III: finitistic dimensions
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