Examples
The following are integrally closed domains.
- Any principal ideal domain (in particular, any field).
- Any unique factorization domain (in particular, any polynomial ring over a unique factorization domain.)
- Any GCD domain (in particular, any Bézout domain or valuation domain).
- Any Dedekind domain.
- Any symmetric algebra over a field (since every symmetric algebra is isomorphic to a polynomial ring in several variables over a field).
Read more about this topic: Integrally Closed Domain
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