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Let D : Zh/) : {m + arm/13 | m, n E Z} and F : Q(/13) its eld of fractions. Show the following: (a)

Let D : Zh/) : {m + arm/13 | m, n E Z} and F : Q(\\/13) its eld of fractions. Show the following: (a) $2 + 33: 1 is irreducible in D[:L'l but not in F [:12] (b) D is not a unique factorization domain

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