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1. Dedekind Domain

   Linked via "invertible"

   $R$ is a Dedekind domain (i.e., Noetherian, every non-zero prime ideal is maximal, and $R$ is integrally closed in $K$).
   $R$ is Noetherian, and every non-zero prime ideal is invertible.
   Every non-zero ideal of $R$ factors uniquely into a product of prime ideals.
   $R$ is integrally closed, and for every non-zero [prime ideal](/ent…