2020/12/13 by Yu Liu, Liu, Yu, Panyue Zhou +1 · 1 citation
Mathematics · Physics and Astronomy · #18E10 #18E30 #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2012.06997
openalex publication_date 2020/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let \mathcal B be an extriangulated category with enough projectives and enough injectives. We define a proper m-term subcategory \mathcal G on \mathcal B, which is an extriangulated subcategory. Then we give a correspondence between cotorsion pairs on \mathcal G, support τ-tilting subcategories on an abelian quotient of \mathcal G when m=2. If such \mathcal G is induced by a hereditary cotorsion pair, then we give a correspondence between cotorsion pairs on \mathcal G and intermediate cotorsion pairs on \mathcal B under certain assumptions. At last, we study an important property of such extriangulated subcategory \mathcal G.