Ring of integers

Revision as of 13:30, 10 December 2007 by ZetaX (talk | contribs)

Let $K$ be a finite algebraic field extension of $\mathbb{Q}$. Then the integral closure of ${\mathbb{Z}}$ in $K$, which we denote by $\mathfrak{o}_K$, is called the ring of integers of $K$. Rings of integers are always Dedekind domains with finite class numbers.

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