Commit 2020-09-10 08:56 49bb92dc

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feat(ring_theory/dedekind_domain): definitions (#4000) Defines is_dedekind_domain in three variants:

  1. is_dedekind_domain: Noetherian, Integrally closed, Krull dimension 1, thanks to @Vierkantor
  2. is_dedekind_domain_dvr: Noetherian, localization at every nonzero prime is a DVR
  3. is_dedekind_domain_inv: Every nonzero ideal is invertible. TODO: prove that these definitions are equivalent. This PR also includes some misc. lemmas required to show the definitions are independent of choice of fraction field. Co-Authored-By: mushokunosora knaka3435@gmail.com Co-Authored-By: faenuccio filippo.nuccio@univ-st-etienne.fr Co-Authored-By: Vierkantor vierkantor@vierkantor.com

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