Basic Ring Theory - 24

Groups, Rings, Domains, Modules, etc, Galois theory
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Tsakanikas Nickos
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Basic Ring Theory - 24

#1

Post by Tsakanikas Nickos »

Let $A$ be a Dedekind domain. Show that if $ \mathfrak{a} $ is a non-zero ideal in $ A $, then $ A / \mathfrak{a} $ is a P.I.D. Conclude that every ideal in $ A $ can be generated by at most $ 2 $ elements.
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