Theorems · Theorem · ring theory

Unitization.algebraMap_eq_inlRingHom_comp

∀ (S : Type u_1) (R : Type u_2) (A : Type u_3) [inst : CommSemiring S] [inst_1 : CommSemiring R]
  [inst_2 : NonUnitalSemiring A] [inst_3 : Module R A] [inst_4 : IsScalarTower R A A] [inst_5 : SMulCommClass R A A]
  [inst_6 : Algebra S R] [inst_7 : DistribMulAction S A] [inst_8 : IsScalarTower S R A],
  algebraMap S (Unitization R A) = (Unitization.inlRingHom R A).comp (algebraMap S R)

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringNonUnitalSemiringModuleIsScalarTowerSMulCommClassAlgebraDistribMulActionIsScalarTower