Auslander bounds and homological conjectures.

DOI10.4171/RMI/655zbMath1241.16006arXiv0802.1085WikidataQ123180629 ScholiaQ123180629MaRDI QIDQ643327

Jiaqun Wei

Publication date: 28 October 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1085

zbMATH Keywords

tilting modulesfinitely generated modulesprojective dimensionprojective resolutionsArtin algebrashomological conjecturesAuslander bound

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (6)

Derived invariance by syzygy complexes ⋮ When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module ⋮ The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings ⋮ Auslander-Reiten conjecture and Auslander-Reiten duality ⋮ On the Auslander–Reiten conjecture for Cohen–Macaulay rings and path algebras ⋮ Tilting complexes and Auslander-Reiten conjecture.

Cites Work

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• On the vanishing of group cohomology
• Algebras that satisfy Auslander's condition on vanishing of cohomology.
• Tilting modules of finite projective dimension
• On rings with finite self-injective dimension. II
• One-sided bounds and the vanishing of Ext
• Applications of contravariantly finite subcategories
• Wakamatsu tilting modules.
• Nonvanishing cohomology and classes of Gorenstein rings
• Repetitive resolutions over classical orders and finite dimensional algebras
• On the finitistic dimension of fixed subrings
• Symmetry in the vanishing of Ext over Gorenstein rings
• Redundancy in resuloutions and finitistic dimensions of noetherian rings
• Finite Flat and Projective Dimension

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