Definition:Dedekind Domain/Definition 1

Definition

A Dedekind domain is an integral domain in which every nonzero proper ideal has a prime ideal factorization that is unique up to permutation of the factors.

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Also known as

A Dedekind domain is also known as a Dedekind ring.

Also see

• Equivalence of Definitions of Dedekind Domain

• Results about Dedekind domains can be found here.

Sources

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