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arxiv: math/0311077 · v1 · submitted 2003-11-06 · 🧮 math.RA

Simplicity of noncommutative Dedekind domains

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keywords dedekinddichotomyprimeringscommutativecomplexdomaindomains
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The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is simple. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings.

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