Remark 15.50.11. Let $R$ be a G-ring and let $I \subset R$ be an ideal. In general it is not the case that the $I$-adic completion $R^\wedge $ is a G-ring. An example was given by Nishimura in [Nishimura]. A generalization and, in some sense, clarification of this example can be found in the last section of [Dumitrescu].
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