Generalized Auslander-Reiten conjecture and tilting equivalences

DOI10.1090/S0002-9939-09-10153-3zbMath1221.16012WikidataQ123270635 ScholiaQ123270635MaRDI QIDQ3558987

Jiaqun Wei

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

tilting modulescotilting modulesArtin algebrasAuslander-Reiten conjecturefinitistic dimension conjecturetilting equivalences

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) Homological dimension in associative algebras (16E10)

Related Items (5)

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 ⋮ Auslander-Reiten conjecture in a dual vein ⋮ Generalized Auslander-Reiten Conjecture and Derived Equivalences

Cites Work

• Unnamed Item
• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• Finiteness of finitistic dimension is invariant under derived equivalences.
• Finitistic dimension and restricted flat dimension.
• Tilting modules of finite projective dimension
• Reduction techniques for homological conjectures
• Applications of contravariantly finite subcategories
• A characterization of the tilting pair.
• On a Generalized Version of the Nakayama Conjecture

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