Theorems · Inductive type · functional analysis

ContinuousAlgHom

(R : Type u_3) →
  [inst : CommSemiring R] →
    (A : Type u_4) →
      [inst_1 : Semiring A] →
        [TopologicalSpace A] →
          (B : Type u_5) →
            [inst_3 : Semiring B] → [TopologicalSpace B] → [Algebra R A] → [Algebra R B] → Type (max u_4 u_5)

Continuous algebra homomorphisms between algebras. We only put the type classes that are necessary for the definition, although in applications M and B will be topological algebras over the topological ring R.

Defined in

Mathlib.Topology.Algebra.Algebra

Cited by

71 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CommSemiringSemiringTopologicalSpaceSemiringTopologicalSpaceAlgebraAlgebra