Theorems · Definition · commutative algebra

AlgHom.domRestrict

{A : Type u_3} →
  (B : Type u_4) →
    {C : Type u_5} →
      {D : Type u_6} →
        [inst : CommSemiring A] →
          [inst_1 : CommSemiring C] →
            [inst_2 : CommSemiring D] →
              [inst_3 : Algebra A C] →
                [inst_4 : Algebra A D] →
                  [inst_5 : CommSemiring B] →
                    [inst_6 : Algebra A B] → [inst_7 : Algebra B C] → [IsScalarTower A B C] → (C →ₐ[A] D) → B →ₐ[A] D

Restrict the domain of an AlgHom.

Defined in

Mathlib.RingTheory.AlgebraTower

Cited by

11 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiringAlgebraAlgebraCommSemiringAlgebraAlgebraIsScalarTower