On Auslander-type conditions of modules
DOI10.4171/PRIMS/59-1-2MaRDI QIDQ2693164
Publication date: 17 March 2023
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.1703
injective dimensionGorenstein algebrasflat dimensioncontravariantly finite subcategoriesminimal flat resolutionsAuslander-type conditionsminimal injective coresolutions
Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10) 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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- Higher Auslander algebras admitting trivial maximal orthogonal subcategories.
- Injective envelopes and (Gorenstein) flat covers.
- \(\tau\)-categories. III: Auslander orders and Auslander-Reiten quivers.
- Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
- Auslander correspondence.
- An introduction to homological algebra
- On rings with finite self-injective dimension. II
- Injective and flat covers, envelopes and resolvents
- \(k\)-Gorenstein algebras and syzygy modules
- Symmetry and duality on \(n\)-Gorenstein rings.
- Applications of contravariantly finite subcategories
- Flat covers of modules
- Radical embeddings and representation dimension.
- Tilting modules and Auslander's Gorenstein property.
- On Auslander's \(n\)-Gorenstein rings
- Syzygy modules for Noetherian rings
- Generalized tilting modules with finite injective dimension.
- Proper resolutions and Gorenstein categories
- Auslander-type conditions and cotorsion pairs.
- Approximations and endomorphism algebras of modules.
- Representation dimension of exterior algebras
- On the vanishing of \(\lim_{(i)}\)
- Character modules
- Les foncteurs dérivés de lim et leurs applications en théorie des modules
- On the ubiquity of Gorenstein rings
- Contravariantly finite resolving subcategories over commutative rings
- ALL MODULES HAVE FLAT COVERS
- Direct Products of Modules
- Injective resolutions of Noetherian rings and cogenerators
- Injective Dimension in Noetherian Rings
- Stable module theory