On the vanishing of self extensions over algebras

DOI10.1007/s00013-020-01497-6zbMath1457.13037OpenAlexW3089278115MaRDI QIDQ2216783

Ali Mahin Fallah

Publication date: 17 December 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01497-6

zbMATH Keywords

ordersAuslander-Reiten conjecture\(n\)-canonical orders

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

• Maximal modifications and Auslander-Reiten duality for non-isolated singularities
• An Auslander-Reiten principle in derived categories
• Gorenstein and totally reflexive orders
• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• On algebras with complete homology
• Modules without self-extensions and Nakayama's conjecture
• Algebras that satisfy Auslander's condition on vanishing of cohomology.
• Gorenstein dimensions
• On a conjecture of Auslander and Reiten
• Relative homological algebra
• On the Auslander-Reiten conjecture for algebras
• Auslander-Reiten conjecture and Auslander-Reiten duality
• The Auslander-Reiten conjecture for Gorenstein rings
• On a Generalized Version of the Nakayama Conjecture
• On the vanishing of self extensions over Cohen-Macaulay local rings
• Vanishing of cohomology over Gorenstein rings of small codimension
• On the Auslander–Reiten conjecture for Cohen–Macaulay local rings
• Stable module theory

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