Generalization of Auslander-Reiten duality for algebras

DOI10.1080/00927872.2021.1922694zbMath1474.13034OpenAlexW3161679260MaRDI QIDQ5860666

Ali Mahin Fallah

Publication date: 22 November 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1922694

zbMATH Keywords

ordersmaximal Cohen-Macaulay modulesAuslander-Reiten duality

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

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• Maximal modifications and Auslander-Reiten duality for non-isolated singularities
• On algebras with complete homology
• Modules without self-extensions and Nakayama's conjecture
• Relative homological algebra
• On the Auslander-Reiten conjecture for algebras
• Two generalizations of Auslander-Reiten duality and applications
• Liftings and weak liftings of modules
• The Auslander-Reiten conjecture for Gorenstein rings
• On a Generalized Version of the Nakayama Conjecture
• Stable module theory

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