Definition:Dedekind Domain/Definition 4
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Definition
A Dedekind domain is a Noetherian domain of dimension $1$ in which every primary ideal is the power of a prime ideal.
Also known as
A Dedekind domain is also known as a Dedekind ring.
Also see
- Results about Dedekind domains can be found here.
Sources
- 1969: M.F. Atiyah and I.G. MacDonald: Introduction to Commutative Algebra ... (previous) ... (next): Chapter $9$: Discrete Valuation Rings and Dedekind Domains: $\S$ Dedekind domains