Localization in right (?)-serial coalgebras

Abstract

In this article, we apply the localization techniques to right (∗)-serial coalgebras and obtain some interesting results. In particular, we give a characterization of right (∗)-serial coalgebras by means of its ‘local structure’, which is the localized right (∗)-serial coalgebras, and we get a main result—the periodicity theorem.

Keywords

Coalgebra / comodule / right (∗)-serial coalgebra / localization

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