On Relative n-Auslander-Reiten Isomorphisms

DOI10.1142/S1005386713000047zbMath1285.16011OpenAlexW2116823803MaRDI QIDQ2859267

Yao Wang, Xiaojin Zhang

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386713000047

zbMATH Keywords

exact sequencesalmost split sequencesArtinian algebrascategories of finitely generated left modulesAuslander-Reiten isomorphisms

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Cites Work

• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Relative homology and representation theory 1
• Relative homology and representation theory II
• Relative homology and representation theory III
• Gorenstein algebras and algebras with dominant dimension at least 2
• Representation theory of artin algebras iii almost split sequences

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