Dedekind domain

Definition from Wiktionary, the free dictionary
Jump to: navigation, search

English[edit]

Wikipedia has an article on:

Wikipedia

Etymology[edit]

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

Noun[edit]

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[edit]