Master-DataScience-Notes/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/Notes/NO/sections/chapter2.tex

\chapter{The Second Chapter}
\label{sec:second}

\kant[7-11] % Dummy text

\begin{theorem}[{\cite[95]{AM69}}]
    \label{thm:dedekind}
    Let \( A \) be a Noetherian domain of dimension one. Then the following are equivalent:
    \begin{enumerate}
        \item \( A \) is integrally closed;
        \item Every primary ideal in \( A \) is a prime power;
        \item Every local ring \( A_\mathfrak{p} \) \( (\mathfrak{p} \neq 0) \) is a discrete valuation ring.
    \end{enumerate}
\end{theorem}