Theorems · Definition · functional analysis

NonUnitalAlgebra.elemental

(R : Type u_1) →
  {A : Type u_2} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalSemiring A] →
        [inst_2 : Module R A] →
          [IsScalarTower R A A] →
            [SMulCommClass R A A] →
              [inst_5 : TopologicalSpace A] →
                [IsSemitopologicalSemiring A] → [ContinuousConstSMul R A] → A → NonUnitalSubalgebra R A

The topological closure of the non-unital subalgebra generated by a single element.

Defined in

Mathlib.Topology.Algebra.NonUnitalAlgebra

Cited by

6 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalSemiringModuleIsScalarTowerSMulCommClassTopologicalSpaceIsSemitopologicalSemiringContinuousConstSMul