Theorems · Definition · functional analysis

Unitization.unitsFstOne

(R : Type u_1) →
  (A : Type u_2) →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalSemiring A] →
        [inst_2 : Module R A] →
          [inst_3 : IsScalarTower R A A] → [inst_4 : SMulCommClass R A A] → Subgroup (Unitization R A)ˣ

The subgroup of the units of Unitization R A whose scalar part is 1.

Defined in

Mathlib.Algebra.Algebra.Spectrum.Quasispectrum

Cited by

7 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalSemiringModuleIsScalarTowerSMulCommClass