Theorems · Definition · commutative algebra
Algebra.Extension.toBaseChange
{R : Type u} →
{S : Type v} →
[inst : CommRing R] →
[inst_1 : CommRing S] →
[inst_2 : Algebra R S] →
{P : Algebra.Extension R S} →
(T : Type u_1) → [inst_3 : CommRing T] → [inst_4 : Algebra R T] → P.Hom P.baseChangeThe canonical hom from P to its base change P.baseChange.
- Defined in
- Mathlib.RingTheory.Extension.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- TensorProductstatement · cited by 2,545
- AlgHom.toRingHomproof · cited by 490
- Algebra.TensorProduct.includeRightproof · cited by 165
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.Homstatement · cited by 51
- Algebra.TensorProduct.rightAlgebrastatement · cited by 27
- Algebra.Extension.baseChangestatement · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- Algebra.Extension.tensorToH1Cotangentproof · cited by 2
- Algebra.Extension.tensorCotangentOfFlat_tmulstatement and proof · cited by 1
- Algebra.Extension.tensorCotangentSpace_tmulstatement and proof · cited by 1
- Algebra.Extension.tensorH1CotangentOfFlat_tmulstatement · cited by 0
- Algebra.Extension.tensorToH1Cotangent_bijective_of_flatproof · cited by 0
- Algebra.Extension.tensorToH1Cotangent_tmulstatement · cited by 0
- Algebra.Extension.toBaseChange_toRingHomstatement and proof · cited by 0
- Algebra.tensorH1CotangentOfFlat_tmulproof · cited by 0