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.

中文翻译：

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倾角扭转理论中的定域和共定域

倾斜理论在煤代数的表示理论中起着重要的作用。本文寻求在共模范畴内如何将局域化和共域化理论应用于倾斜扭转理论。为了更好地理解该过程，我们对射影，（预）覆盖物和特殊的前覆盖物进行了（共）定位。因此，我们研究了倾斜的扭角理论中的（共）局部化。