A new method to construct model structures from left Frobenius pairs in extriangulated categories-Reference-Cited by-同舟云学术

A new method to construct model structures from left Frobenius pairs in extriangulated categories

Published:2022 Issue:8 Volume:30 Page:2774-2787
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Ma Yajun¹,Liu Haiyu²,Geng Yuxian²

Affiliation:

1. Department of Mathematics, Nanjing University, Nanjing 210093, China

2. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou, Jiangsu 213001, China

Abstract

<abstract><p>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 $ \mathcal{C} $, and then establish a bijective correspondence between left Frobenius pairs and certain cotorsion pairs in $ \mathcal{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).</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference24 articles.

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5. J. S. Hu, D. D. Zhang, P. Y. Zhou, Proper classes and Gorensteinness in extriangulated categories, J. Algebra, 551 (2020), 23–60. https://doi.org/10.1016/j.jalgebra.2019.12.028