Theorems · Definition · ring theory

QuaternionAlgebra.Basis.compHom

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : CommRing R] →
        [inst_1 : Ring A] →
          [inst_2 : Ring B] →
            [inst_3 : Algebra R A] →
              [inst_4 : Algebra R B] →
                {c₁ c₂ c₃ : R} → QuaternionAlgebra.Basis A c₁ c₂ c₃ → (A →ₐ[R] B) → QuaternionAlgebra.Basis B c₁ c₂ c₃

Transform a QuaternionAlgebra.Basis through an AlgHom.

Defined in

Mathlib.Algebra.QuaternionBasis

Cited by

4 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingRingAlgebraAlgebra