Divided domain

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In algebra, a divided domain is an integral domain R in which every prime ideal 𝔭 satisfies 𝔭=𝔭R𝔭. A locally divided domain is an integral domain that is a divided domain at every maximal ideal. A Prüfer domain is a basic example of a locally divided domain.[1] Divided domains were introduced by Akiba (1967) who called them AV-domains.

References

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[edit | edit source]
  • Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  • Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).