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Localization and colocalization in tilting torsion theory for coalgebras

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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.

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Acknowledgements

The authors would like to deeply thank the referees for their valuable comments and suggestions which helped us to improve the results in this paper.

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Correspondence to Hailou Yao.

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The research has been supported by the National Natural Science Foundation of China (Grant No. 12071120).

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Li, Y., Yao, H. Localization and colocalization in tilting torsion theory for coalgebras. Czech Math J 71, 663–688 (2021). https://doi.org/10.21136/CMJ.2021.0038-20

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