Almost Split Conflations for Complexes of Modules

DOI10.1080/00927870601117654zbMath1150.16007OpenAlexW2014273791MaRDI QIDQ3435939

Jue Le

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601117654

zbMATH Keywords

derived categoriesAuslander-Reiten translatesalmost split sequencesexact categoriesSerre dualitycategories of complexesAuslander-Reiten trianglesAuslander-Reiten formulacomplexes of modulesalmost split conflations

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes in associative algebras (16E05)

Cites Work

• On the derived category of a finite-dimensional algebra
• The Auslander-Reiten formula for complexes of modules.
• Auslander-Reiten theory via Brown representability
• Chain complexes and stable categories
• Purity and almost split morphisms in abstract homotopy categories: A unified approach via Brown representability
• Noetherian hereditary abelian categories satisfying Serre duality
• Representation theory of artin algebras iii almost split sequences
• Exact categories and vector space categories
• the stable derived category of a noetherian scheme
• Idempotent completion of triangulated categories

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