Localization and colocalization in tilting torsion theory for coalgebras

Li, Yuan ; Yao, Hailou

Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 663-688

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2021.0038-20

Classification : 16T15, 18E40, 18G05
Keywords: (pre)cover; tilting comodule; (co)localization; torsion theory

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