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Theorems · Definition · commutative algebra

Algebra.Extension.Hom.id

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → (P : Algebra.Extension R S) → P.Hom P

The identity hom.

Defined in
Mathlib.RingTheory.Extension.Basic
Cited by
8 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Assumes
CommRingCommRingAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Algebra.Extension.Hom.toAlgHom_id · cited by 2Hom.toAlgHom_idAlgebra.Extension.Hom.id_toRingHom · cited by 2Hom.id_toRingHomAlgebra.Extension.Cotangent.map_id · cited by 1Cotangent.map_idAlgebra.Extension.H1Cotangent.map_id · cited by 0H1Cotangent.map_idAlgebra.Extension.Hom.comp_id · cited by 0Hom.comp_idAlgebra.Generators.Hom.toExtensionHom_id · cited by 0Hom.toExtensionHom_idAlgebra.Extension.CotangentSpace.map_id · cited by 0CotangentSpace.map_idAlgebra.Extension.Hom.id_comp · cited by 0Hom.id_compRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgebra.Extension.Ring · cited by 179Extension.RingAlgebra.Extension · cited by 138Algebra.ExtensionAlgebra.Extension.Hom · cited by 51Extension.HomHom.idCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.