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arXiv · 2108.07773

Hereditary cotorsion pairs and silting subcategories in extriangulated categories

Takahide Adachi·Mayu Tsukamoto
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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.

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Takahide Adachi, Mayu Tsukamoto. 2021-08-17. Hereditary cotorsion pairs and silting subcategories in extriangulated categories. https://arxiv.org/abs/2108.07773

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