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arXiv:2108.07773 [math.RT]AbstractReferencesReviewsResources

Hereditary cotorsion pairs and silting subcategories in extriangulated categories

Takahide Adachi, Mayu Tsukamoto

Published 2021-08-17Version 1

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.

Comments: 18 pages
Categories: math.RT
Subjects: 18G80
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