Theorems · Definition · functional analysis

WeakDual.CharacterSpace.toAlgHom

{𝕜 : Type u_1} →
  {A : Type u_2} →
    [inst : CommRing 𝕜] →
      [NoZeroDivisors 𝕜] →
        [inst_2 : TopologicalSpace 𝕜] →
          [inst_3 : ContinuousAdd 𝕜] →
            [inst_4 : ContinuousConstSMul 𝕜 𝕜] →
              [inst_5 : TopologicalSpace A] →
                [inst_6 : Semiring A] → [inst_7 : Algebra 𝕜 A] → ↑(WeakDual.characterSpace 𝕜 A) → A →ₐ[𝕜] 𝕜

An element of the character space of a unital algebra, as an algebra homomorphism.

Defined in

Mathlib.Topology.Algebra.Module.Spaces.CharacterSpace

Cited by

1 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingNoZeroDivisorsTopologicalSpaceContinuousAddContinuousConstSMulTopologicalSpaceSemiringAlgebra