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Dedekind domains

Dedekind domains is the plural of Dedekind domain.

Meaning of Dedekind domain

Noun

Dedekind domain (plural Dedekind domains)

  1. (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.
    Synonyms:
    Dedekind ring

Questions about Dedekind domains

What is Dedekind domains the plural of?
Dedekind domains is the plural of Dedekind domain.

Words near Dedekind domains in the dictionary

  1. Dedeians
  2. Dedekind
  3. Dedekind cut
  4. Dedekind cuts
  5. Dedekind domain
  6. Dedekind domains
  7. Dedekind ellipsoid
  8. Dedekind ellipsoids
  9. Dedekind ring
  10. Dedekind rings
  11. Dedekindian

Source and license

Adapted from Wiktionary: Dedekind domains (page history and authors); Dedekind domain (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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