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Results tagged with prime-ideals
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user 17907
For questions involving prime ideals in commutative or noncommutative rings.
12
votes
Is being principal a local property?
Only in principal ideal domains (PIDs). If by number ring you mean Dedekind domain, then all its localizations at prime ideals are discrete valuation rings (except the one at 0 which is a field), whic …
- 4,746