BabelNet

bn:00658591n

Noun Concept

Categories: Algebraic number theory, All articles containing potentially dated statements, Commutative algebra

Dedekind domain Dedekind domains Dedekind ring Steinitz class

In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. Wikipedia

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In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. Wikipedia

An integral domain in which every nonzero proper ideal factors into a product of prime ideals Wikipedia Disambiguation

Ring with unique factorization for ideals Wikidata

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

Integral domain whose prime ideals factorise uniquely. Wiktionary (translation)

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. Wiktionary

IS A

HAS KIND

principal ideal domain

NAMED AFTER

Richard Dedekind

Wikipedia

Dedekind domain