English

Noun

Dedekind domain ‎(plural Dedekind domains)

1. (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.

Hypernyms

• Noetherian domain