Resolving resolution dimension of recollements of abelian categories
DOI10.1142/S0219498821501796zbMath1496.16010OpenAlexW3033837409MaRDI QIDQ5158053
Publication date: 21 October 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498821501796
resolving subcategoriesrecollements of abelian categoriesGorensteinnesstriangular matrix Artin algebrasresolving resolution dimension
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)
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Cites Work
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- Resolving resolution dimensions
- Homological theory of recollements of abelian categories
- Classifying resolving subcategories
- Gorenstein defect categories of triangular matrix algebras
- On (strongly) Gorenstein (semi)hereditary rings
- The homological theory of quasi-resolving subcategories
- Recollements of module categories
- Singularity categories, Schur functors and triangular matrix rings
- Elementary construction of perverse sheaves
- Gorenstein homological dimensions.
- Flat covers of modules
- Comparison of abelian categories recollements
- Relative homological algebra
- Gorenstein homological aspects of monomorphism categories via Morita rings
- Gorenstein-projective modules and symmetric recollements
- Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements
- GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS
- Reduction techniques for the finitistic dimension
- Gorenstein global dimension of recollements of abelian categories
- Global Gorenstein dimensions
- A representation-theoretic approach to recollements of abelian categories
- Stable module theory
- Homological and homotopical aspects of torsion theories
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