A new method to construct model structures from left Frobenius pairs in extriangulated categories
Category Theory
2021-08-31 v2 Representation Theory
Abstract
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we first introduce the concept of left Frobenius pairs on an extriangulated category C, and then establish a bijective correspondence between Frobenius pairs and certain cotorsion pairs in C. As an application, some new admissible model structures are established from left Frobenius pairs under certain conditions, which generalizes a result of Hu et al. (J. Algebra 551 (2020) 23-60).
Cite
@article{arxiv.2108.06642,
title = {A new method to construct model structures from left Frobenius pairs in extriangulated categories},
author = {Yajun Ma and Haiyu Liu and Yuxian Geng},
journal= {arXiv preprint arXiv:2108.06642},
year = {2021}
}
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13 pages