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Cotorsion pairs associated with Auslander categories

2006/09/11 by Edgar E. Enochs, Enochs, Edgar E., Henrik Holm +1
Mathematics · #13D05 #13D07 #13D25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D05 #msc:13D07 #msc:13D25

paper · pdf · doi:10.48550/arxiv.math/0609291

15 pages

arxiv created 2006/09/11 · openalex publication_date 2006/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Auslander class determined by a semidualizing module is the left half of a perfect cotorsion pair. We also prove that the Bass class determined by a semidualizing module is preenveloping.

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