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Completion and Tensor Product of Algebras

It's true if $A$ is Noetherian. For any $A$-algebra $C$ and any ideal $J$ in $A$, note that $C/JC$ is isomorphic to the tensor product algebra $C \otimes_A A/J$. Now for any $n \geq 0$, $A/I^n$ is a …
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