Auslander-Reiten theory on the homotopy category of projective modules.

DOI10.1016/J.JPAA.2008.12.011zbMath1205.16014OpenAlexW2023346781MaRDI QIDQ1013115

Jue Le

Publication date: 16 April 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.12.011

zbMATH Keywords

triangulated categoriesalmost split sequencesAuslander-Reiten trianglesAuslander-Reiten formulahomotopy categories of complexes

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (2)

Almost split sequences in the category of complexes of modules ⋮ The Auslander-Reiten formula on finitely presented functor categories

Cites Work

• On the derived category of a finite-dimensional algebra
• The Auslander-Reiten formula for complexes of modules.
• The homotopy category of flat modules, and Grothendieck duality
• Derived equivalences for group rings
• Auslander-Reiten theory via Brown representability
• The homotopy category of complexes of projective modules
• Relative homological algebra
• Acyclicity versus total acyclicity for complexes over noetherian rings
• Representation theory of artin algebras iii almost split sequences
• the stable derived category of a noetherian scheme
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