Homotopical Algebra from Cotorsion Pairs in Extriangulated Categories

Xuan Yu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss some aspects of model category structures arising from cotorsion pairs on extriangulated categories, including Becker’s localization/recollement of model structures (Becker, Adv. Math. 254, 187–232 2014) and Sarazola’s Waldhausen category structure (Sarazola, J. Pure Appl. Algebra, 224, 106399 2020). A generalization of our result in (Yu, Proc. Amer. Math. Soc. 148(9), 3699–3704 2020) is discussed at the end to illustrate how one can obtain Hovey twin cotorsion pairs from the Auslander-Buchweitz approximation theory.

Original languageEnglish
Pages (from-to)1773–1798
Number of pages26
JournalAlgebras and Representation Theory
Volume26
Issue number5
DOIs
Publication statusPublished - 2023

Keywords

  • Cotorsion pair
  • Extriangulated category
  • Model category

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