- \( A \) is a valuation ring of \( \mathbb{K} \).
- If \( \mathfrak{a},\mathfrak{b} \) are two ideals of \( A \), then either \( \mathfrak{a} \subseteq \mathfrak{b} \) or \( \mathfrak{a}\supseteq \mathfrak{b} \).
Basic Ring Theory - 8
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Basic Ring Theory - 8
Let \( A \) be an integral domain and let \( \mathbb{K} \) be its field of fractions. Show that the following are equivalent:
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