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Revision difference : ideal decomposition in Dedekind domain
Version 2 Version 1
Every non-zero ideal $\mathfrak{a}$ of a Dedekind domain $D$ may be written as a product of finitely many prime ideals $\mathfrak{p}_i$ of $D$, Every non-zero ideal $\mathfrak{a}$ of a Dedekind domain $D$ may be written as a product of finitely many prime ideals $\mathfrak{p}$ of $D$,
$$\mathfrak{a} = \mathfrak{p}_1\mathfrak{p}_2...\mathfrak{p}_k.$$ $$\mathfrak{a} = \mathfrak{p}_1\mathfrak{p}_2...\mathfrak{p}_k.$$
The \PMlinkescapetext{product decomposition is unique up to the order of the factors}. The \PMlinkescapetext{product decomposition is unique up to the order of the factors}.