- \( A \) is a discrete valuation ring.
- \( A \) is integrally closed (i.e. a normal ring).
- \( A \) is a regular local ring.
- \( \mathfrak{m} \) is a principal ideal.
Basic Ring Theory - 15
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Basic Ring Theory - 15
Let \( A \) be a noetherian, local, integral domain of dimension \( 1 \) with maximal ideal \( \mathfrak{m} \). Show that the following are equivalent:
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