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To investigate the localization problems of fc-tame coalgebras and fc-wild coalgebras, based on the concepts and properties of fc-tame coalgebras and fc-wild coalgebras, using the method of localization and applying the quotient functor and section functor, the authors studied the finitely copresented comodules, fc-tame coalgebras and fc-wild coalgebras and obtained the weak localization properties of finitely copresented comodules. In particular, the relations of fc-tame and fc-wild between coalgebras and localized coalgebras were given.
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