Hereditary cotorsion pairs and silting subcategories in extriangulated categories

2021/08/17 by Takahide Adachi, Adachi, Takahide, Mayu Tsukamoto +1 · 2 citations
Mathematics · #18G80 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2108.07773

openalex publication_date 2021/08/17 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we study a relationship between an interval of the poset of cotorsion pairs and the poset of cotorsion pairs in the heart associated to the interval. Secondly, we establish a bijection between bounded hereditary cotorsion pairs and silting subcategories in extriangulated categories.

Cited by

• Semibricks and wide subcategories in extended module categories
• The Grothendieck group of an extriangulated category

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