Global Dimensions of Endomorphism Algebras of Generator-Cogenerators Overm-Replicated Algebras

DOI10.1080/00927871003598681zbMath1259.16009arXiv0812.0655OpenAlexW2963271145MaRDI QIDQ3084561

Hongbo Lü, Shun-Hua Zhang

Publication date: 25 March 2011

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

Full work available at URL: https://arxiv.org/abs/0812.0655

zbMATH Keywords

generatorshereditary algebrasglobal dimensionAuslander-Reiten quiversArtin algebrascategories of finitely generated modulescogeneratorsreplicated algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (1)

Auslander-Gorenstein algebras from Serre-formal algebras via replication

Cites Work

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• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• Tame algebras and integral quadratic forms
• Cluster categories and duplicated algebras.
• Radical embeddings and representation dimension.
• \(m\)-cluster categories and \(m\)-replicated algebras.
• Trivial Extensions of Tilted Algebras
• Finiteness of representation dimension

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