Theorems · Definition · ring theory

NonUnitalStarSubalgebra.center

(R : Type u) →
  (A : Type v) →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalSemiring A] →
        [inst_2 : StarRing A] →
          [inst_3 : Module R A] → [IsScalarTower R A A] → [SMulCommClass R A A] → NonUnitalStarSubalgebra R A

The center of a non-unital star algebra is the set of elements which commute with every element. They form a non-unital star subalgebra.

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

6 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalSemiringStarRingModuleIsScalarTowerSMulCommClass