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arXiv · 2108.06642

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

Yajun Ma·Haiyu Liu·Yuxian Geng
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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).

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BibTeXRIS

Yajun Ma, Haiyu Liu, Yuxian Geng. 2021-08-15. A new method to construct model structures from left Frobenius pairs in extriangulated categories. https://arxiv.org/abs/2108.06642

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