@article{Ma2022, 
author = {Yajun Ma and Haiyu Liu and Yuxian Geng},
title = {A new method to construct model structures from left Frobenius pairs in extriangulated categories},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {8},
pages = {2774-2787},
keywords = {extriangulated category, cotorsion pair, left Frobenius pair, model structure},
url = {https://www.sciopen.com/article/10.3934/era.2022142},
doi = {10.3934/era.2022142},
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 left 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).}
}