Czechoslovak Mathematical Journal, Vol. 71, No. 3, pp. 663-688, 2021


Localization and colocalization in tilting torsion theory for coalgebras

Yuan Li, Hailou Yao

Received January 29, 2020.   Published online March 31, 2021.

Abstract:  Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and colocalization to tilting torsion theory in the category of comodules. In order to better understand the process, we give the (co)localization for morphisms, (pre)covers and special precovers. For that reason, we investigate the (co)localization in tilting torsion theory for coalgebras.
Keywords:  (pre)cover; tilting comodule; (co)localization; torsion theory
Classification MSC:  16T15, 18G05, 18E40


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Affiliations:   Yuan Li, Hailou Yao (corresponding author), Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing 100124, P. R. China, e-mail: yuanlimath@foxmail.com, yaohl@bjut.edu.cn


 
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