Auslander–Reiten conjecture of the tilting theorem

DOI10.1142/s0219498824500130OpenAlexW4296021788WikidataQ114072438 ScholiaQ114072438MaRDI QIDQ6084816

Ali Mahin Fallah

Publication date: 2 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824500130

zbMATH Keywords

tilting theoremAuslander-Reiten conjectureNoetherian algebra

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Chain complexes (category-theoretic aspects), dg categories (18G35) Representation theory of associative rings and algebras (16G99)

Cites Work

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• On algebras with complete homology
• Modules without self-extensions and Nakayama's conjecture
• Algebras that satisfy Auslander's condition on vanishing of cohomology.
• Tilting modules of finite projective dimension
• On a conjecture of Auslander and Reiten
• On the Auslander-Reiten conjecture for algebras
• Tilting invariance of the Auslander-Reiten conjecture.
• Specifying the Auslander transpose in submodule category and its applications
• Liftings and weak liftings of modules
• Auslander-Reiten conjecture and Auslander-Reiten duality
• Morita Theory for Derived Categories
• On a Generalized Version of the Nakayama Conjecture

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