Auslander-Reiten sequences and t-structures on the homotopy category\n of an abelian category

2009/12/30 by Erik Backelin, Backelin, Erik, Omar Jaramillo +1
Mathematics · Physics and Astronomy · #16G10 #16G70 #18G99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0912.4984

openalex publication_date 2009/12/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We use t-structures on the homotopy category K^b(R-mod) for an artin\nalgebra R and Watts' representability theorem to give an existence proof for\nAuslander-Reiten sequences of R-modules.\n

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• Existence of Auslander-Reiten sequences in subcategories
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