The Stacks project

Definition 10.120.14. A Dedekind domain is a domain $R$ such that every nonzero ideal $I \subset R$ can be written as a product

\[ I = \mathfrak p_1 \ldots \mathfrak p_ r \]

of nonzero prime ideals uniquely up to permutation of the $\mathfrak p_ i$.

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  • 10 comment(s) on Section 10.120: Factorization

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