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adjusted height definition

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GTBarkley 2023-06-12 04:15:30 +00:00
parent 1f6dd08dd4
commit 6528571d32
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comm_alg/krull.lean
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@ -20,7 +20,7 @@ namespace Ideal
variable {R : Type _} [CommRing R] (I : PrimeSpectrum R)
noncomputable def height : ℕ∞ := Set.chainHeight {J : PrimeSpectrum R | J ≤ I} - 1
noncomputable def height : ℕ∞ := Set.chainHeight {J : PrimeSpectrum R | J < I}
noncomputable def krull_dim (R : Type) [CommRing R]: WithBot ℕ∞ := ⨆ (I : PrimeSpectrum R), height I