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  • Containment-division ring

Ring theory MOC

Containment-division ring

A containment-division ring or CDR is a ring in which for ideals, the notions of containment and division coïncide. ring

To divide is to contain.

For example, A Dedekind domain is a CDR.


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  • A Dedekind domain is a CDR
  • Absolute norm of an ideal of the ring of integers of a number field
  • Ideal class group of a number field
  • Product ideal

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