TY - JOUR
T1 - Homotopical Algebra from Cotorsion Pairs in Extriangulated Categories
AU - Yu, Xuan
N1 - Funding Information:
The author would like to thank the reviewer for the helpful suggestions in improving the content of the paper. This project is partially supported by the National Natural Science Foundation of China (Grant No.11901589) and Guangdong Basic and Applied Basic Research Foundation (Grant No.2022A1515012176, No.2018A030313581).
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2023/10
Y1 - 2023/10
N2 - 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.
AB - 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.
KW - Cotorsion pair
KW - Extriangulated category
KW - Model category
UR - http://www.scopus.com/inward/record.url?scp=85135347307&partnerID=8YFLogxK
U2 - 10.1007/s10468-022-10150-5
DO - 10.1007/s10468-022-10150-5
M3 - Article
AN - SCOPUS:85135347307
SN - 1386-923X
VL - 26
SP - 1773
EP - 1798
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
IS - 5
ER -