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math.RT2021
Hereditary cotorsion pairs and silting subcategories in extriangulated categories
Takahide Adachi, Mayu Tsukamoto
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…
math.RT2021★ 5 cited
Intervals of -torsion pairs in extriangulated categories with negative first extensions
Takahide Adachi, Haruhisa Enomoto, Mayu Tsukamoto
As a general framework for the studies of -structures on triangulated categories and torsion pairs in abelian categories, we introduce the notions of extriangulated categories w…