Theorems · Definition · ring theory
NonUnitalStarSubalgebra.centralizer
(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] → Set A → NonUnitalStarSubalgebra R AThe centralizer of the star-closure of a set as a non-unital star subalgebra.
- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- Star.starproof · cited by 1,082
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalSubalgebraproof · cited by 215
- NonUnitalStarSubalgebrastatement · cited by 196
- NonUnitalSubalgebra.centralizerproof · cited by 12
Cited by11
Results whose statement or proof uses this declaration.
- NonUnitalStarSubalgebra.coe_centralizerstatement · cited by 2
- NonUnitalStarAlgebra.adjoin_le_centralizer_centralizerstatement and proof · cited by 2
- NonUnitalStarSubalgebra.centralizer_toNonUnitalSubalgebrastatement · cited by 1
- NonUnitalStarSubalgebra.coe_centralizer_centralizerstatement and proof · cited by 1
- NonUnitalStarAlgebra.isMulCommutative_adjoinproof · cited by 1
- NonUnitalStarSubalgebra.topologicalClosure_adjoin_le_centralizer_centralizerstatement and proof · cited by 1
- NonUnitalStarSubalgebra.centralizer_lestatement · cited by 0
- NonUnitalStarSubalgebra.centralizer_univstatement · cited by 0
- NonUnitalStarAlgebra.elemental.le_centralizer_centralizerstatement · cited by 0
- NonUnitalStarSubalgebra.mem_centralizer_iffstatement · cited by 0
- NonUnitalStarSubalgebra.centralizer.congr_simpstatement and proof · cited by 0