\(\mathbb{W}^t\)-approximation representations over quasi \(k\)-Gorenstein algebras
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Publication:1974188
DOI10.1007/BF02880386zbMath0966.16004OpenAlexW2764684377MaRDI QIDQ1974188
Publication date: 28 August 2000
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02880386
categories of modulesGorenstein algebrasapproximation representationshomologically finite categoriesquasi Gorenstein algebras
Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)
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Selforthogonal modules with finite injective dimension. II ⋮ \(k\)-torsionfree modules and Frobenius extensions ⋮ Approximation Presentations of Modules and Homological Conjectures ⋮ k-torsionfree modules with respect to generalized tilting modules ⋮ Igusa–Todorov Endomorphism Algebras ⋮ Selforthogonal modules with finite injective dimension ⋮ \(\omega\)-\(k\)-torsionfree modules and \(\omega\)-left approximation dimension.
Cites Work
- Unnamed Item
- Unnamed Item
- Almost split sequences in subcategories
- Preprojective modules over Artin algebras
- Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
- \(k\)-Gorenstein algebras and syzygy modules
- Applications of contravariantly finite subcategories
- Syzygy modules for Noetherian rings
- Modules of finite projective dimension and cocovers
- Finite Projectivity and Contravariant Finiteness
- Representation theory of artin algebras iii almost split sequences
- On contravariant finiteness of subcategories of modules of projective dimension $\le I$