On a generalization of the auslander-bridger transpose
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Publication:4934103
DOI10.1080/00927879908826791zbMath0948.16007OpenAlexW1984255115MaRDI QIDQ4934103
Publication date: 28 August 2000
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879908826791
cotilting modulesgeneralized Gorenstein dimensionNakayama conjectureAuslander-Bridger transposefaithfully balanced selforthogonal modules
Representations of orders, lattices, algebras over commutative rings (16G30) Cohen-Macaulay modules in associative algebras (16G50) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)
Related Items
Selforthogonal modules with finite injective dimension. III., \(k\)-Gorenstein modules., n-T-COTORSION-FREE MODULES, Relative transpose and its dual with respect to a bimodule, Tilting modules of finite projective dimension and a generalization of \(*\)-modules., n-T -torsionfree modules, Self-orthogonal modules over coherent rings, A NOTE ON TILTING AND COTILTING MODULES, Homological Characterizations of Rings with Property (P), Two filtration results for modules with applications to the Auslander condition, Separated monic representations II: Frobenius subcategories and RSS equivalences, A generalization of the Auslander transpose and the generalized Gorenstein dimension, Relative torsionfree modules with respect to a faithfully balanced bimodule, Linkage of modules and the Serre conditions, On relative counterpart of Auslander’s conditions, Selforthogonal modules with finite injective dimension
Cites Work
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- Tilting modules of finite projective dimension
- On modules with trivial self-extensions
- Applications of contravariantly finite subcategories
- Some remarks on equivalences between categories of modules
- Coherent rings of finite weak global dimension
- Equivalences between projective and injective modules and morita duality for artinian rings
