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Wikipedia definition
1. Dedekind domainIn abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessarily unique up to the order of the factors. There are at least three other characterizations of Dedekind domains which are sometimes taken as the definition: see below.
Read “Dedekind domain” on English Wikipedia
Read “デデキント環” on Japanese Wikipedia
Read “Dedekind domain” on DBpedia

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