L-FUNCTORS AND ALMOST SPLIT SEQUENCES

DOI10.1081/AGB-200040900zbMath1081.16027MaRDI QIDQ4678672

Wolfgang Rump

Publication date: 23 May 2005

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

zbMATH Keywords

triangulated categoriesalmost split sequencesexact categorieshomotopy categoriesendofunctorsladder functors

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Preadditive, additive categories (18E05)

Related Items (4)

Exact categories, big Cohen-Macaulay modules and finite representation type ⋮ Triads. ⋮ Triadic categories without localization ⋮ Exact Krull-Schmidt categories with finitely many indecomposables

Cites Work

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• A characterization of finite Auslander-Reiten quivers
• Radical layers of representable functors
• Large indecomposables over representation-infinite orders and algebras.
• The Cohen-Macaulay type of Cohen-Macaulay rings
• Chain complexes and stable categories
• Noetherian hereditary abelian categories satisfying Serre duality
• A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
• Higher algebraic K-theory: I

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