Definition: Noetherian ring whose localizations at primes all have depth equal to their Krull dimension

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- passes to quotient rings (Counterexample: $R_{ 90 }$ is a homomorphic image of $R_{ 98 }$)
- passes to subrings (Counterexample: $R_{ 36 }$ is a subring of $R_{ 7 }$)

Rings

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- = has the property
- = does not have the property
- = information not in database