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14 lines
499 B
TeX
14 lines
499 B
TeX
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\chapter{The Second Chapter}
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\label{sec:second}
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\kant[7-11] % Dummy text
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\begin{theorem}[{\cite[95]{AM69}}]
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\label{thm:dedekind}
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Let \( A \) be a Noetherian domain of dimension one. Then the following are equivalent:
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\begin{enumerate}
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\item \( A \) is integrally closed;
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\item Every primary ideal in \( A \) is a prime power;
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\item Every local ring \( A_\mathfrak{p} \) \( (\mathfrak{p} \neq 0) \) is a discrete valuation ring.
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\end{enumerate}
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\end{theorem}
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