# The Stacks Project

## Tag 07MD

Situation 51.5.1. Here $p$ is a prime number, $(A, I, \gamma)$ is a divided power ring such that $A$ is a $\mathbf{Z}_{(p)}$-algebra, and $A \to C$ is a ring map such that $IC = 0$ and such that $p$ is nilpotent in $C$.

The code snippet corresponding to this tag is a part of the file crystalline.tex and is located in lines 660–665 (see updates for more information).

\begin{situation}
\label{situation-affine}
Here $p$ is a prime number, $(A, I, \gamma)$ is a divided power
ring such that $A$ is a $\mathbf{Z}_{(p)}$-algebra, and $A \to C$ is a
ring map such that $IC = 0$ and such that $p$ is nilpotent in $C$.
\end{situation}

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