Dedekind domain

English

Etymology

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

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