Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
DOI10.1016/j.jalgebra.2005.02.022zbMath1119.16007OpenAlexW2050315245MaRDI QIDQ555759
Publication date: 10 June 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.02.022
triangulated categoriesGorenstein ringstelescope conjecturecotorsion pairsstable categoriescontravariantly finite categoriesGorenstein symmetry conjecturevirtually Gorenstein algebras
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
- The localization of spectra with respect to homology
- Stable equivalence for self-injective algebras and a generalization of tilting modules
- Almost split sequences in subcategories
- Preprojective modules over Artin algebras
- The derived category of an exact category
- \(k\)-Gorenstein algebras and syzygy modules
- A remark on the generalized smashing conjecture
- Derived equivalences for group rings
- Auslander-Reiten triangles, Ziegler spectra and Gorenstein rings
- Applications of contravariantly finite subcategories
- Flat covers of modules
- Derived categories and stable equivalence
- Smashing subcategories and the telescope conjecture -- an algebraic approach
- Relative homological algebra and purity in triangulated categories
- On the ubiquity of Gorenstein rings
- Semi-dualizing complexes and their Auslander categories
- The spectrum of a module category
- Triangulated Categories
- Noetherian hereditary abelian categories satisfying Serre duality
- REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- How To Make Ext Vanish
- Cohomological quotients and smashing localizations
- Finite Projectivity and Contravariant Finiteness
- The homological theory of maximal Cohen-Macaulay approximations
- REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
- Localization with Respect to Certain Periodic Homology Theories
- Morita Theory for Derived Categories
- Representation theory of artin algebras iii almost split sequences
- Locally finitely presented additive categories
- Deriving DG categories
- Homotopy theory of modules and Gorenstein rings
- Cleft extensions of abelian categories and applications to ring theory
- The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
- Derived Equivalences As Derived Functors
- Filtering modules of finite projective dimension
- APPLICATIONS OF COTORSION PAIRS
- The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
- The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
- Tilting modules and Gorenstein rings
- Stable module theory
- Homological and homotopical aspects of torsion theories
- Envelopes and covers by modules of finite injective and projective dimensions
- Spectra of modules
- Failure of Brown representability in derived categories