Weak cotorsion, τ-tilting and two-term categories

2021/11/22 by Aslak Bakke Buan, Yu Zhou, Buan, Aslak Bakke +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2111.10995

openalex publication_date 2021/11/22 · openalex created_date 2021/12/06 · openalex updated_date 2026/07/28

Abstract

Motivated by its links to τ-tilting theory, we introduce a generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t-structures in corresponding triangulated categories, and to cotorsion pairs in certain extension closed (and hence extriangulated) subcategories, which we call two-term categories.

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