Module

NativeNormalizationRingMap.lean

Nyll.SchemeTheory.Normalization.NativeNormalizationRingMap
1 declaration indexed from sourceView source ↗

Ring maps induced on normalizations

Restricts an algebra homomorphism to a ring homomorphism between integral closures, using preservation of integral elements.

Imports3
Imported by2

Declarations

SchemeTheory.nativeNormalizationRingMap

The actual map on integral closures, retaining only its native ring map. The restriction is defined by the existing preservation of integral elements.

Source context 3 commands

Surrounding namespaces, section variables, and local commands at this declaration.

noncomputable section
namespace SchemeTheory
universe u v
def nativeNormalizationRingMap {A : Type u} [CommRing A]
    (R : CommAlgCat.{v} A) (S : CommAlgCat.{v} A) (f : R →ₐ[A] S) :
    normalizationCommAlgCat A R →+* normalizationCommAlgCat A S