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AlgebraicGeometry.IsLocallyNoetherian

A scheme X is locally Noetherian if 𝒪ₓ(U) is Noetherian for all affine U.

Defined in
Mathlib.AlgebraicGeometry.Noetherian
Shape
One type argument · adds component_noetherian
Open in Mathlib docs

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by2

Forgetful instances

Every AlgebraicGeometry.IsLocallyNoetherian is also a

Provided automatically by

Concrete types that are instances4

  • CategoryTheory.Limits.pullback
  • AlgebraicGeometry.Scheme.Opens.toScheme
  • AlgebraicGeometry.Spec
  • CategoryTheory.PreZeroHypercover.X

How is a type an instance?

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Assumed by37

Ancestors1