The Stacks project

Definition 88.19.2. Let $\varphi : A \to B$ be a continuous ring homomorphism between adic Noetherian topological rings, i.e., $\varphi$ is an arrow of $\textit{WAdm}^{Noeth}$. We say $\varphi$ is rig-etale if the equivalent conditions of Lemma 88.19.1 hold.