Hereditary cotorsion pairs and silting subcategories in extriangulated categories
Representation Theory
2021-09-28 v2
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.
Keywords
Cite
@article{arxiv.2108.07773,
title = {Hereditary cotorsion pairs and silting subcategories in extriangulated categories},
author = {Takahide Adachi and Mayu Tsukamoto},
journal= {arXiv preprint arXiv:2108.07773},
year = {2021}
}
Comments
20 pages