The Stacks project

Definition 87.6.1. Let $A$ and $B$ be pre-adic topological rings. A ring homomorphism $\varphi : A \to B$ is adic1 if there exists an ideal of definition $I \subset A$ such that the topology on $B$ is the $I$-adic topology.

[1] This may be nonstandard terminology.

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View Definition 87.6.1 as pdf