Dedekind-domain meaning

(algebra, ring theory) An integral domain in which every proper ideal factors into a product of prime ideals which is unique (up to permutations).

It can be proved that a Dedekind domain (as defined above) is equivalent to an integral domain in which every proper fractional ideal is invertible.

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Origin of dedekind-domain

  • Named after Richard Dedekind (1831–1916), German mathematician.
    From Wiktionary