Theorems · Definition · nonassociative algebras
NonUnitalSubalgebra.centralizer
(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] → Set A → NonUnitalSubalgebra R AThe centralizer of a set as a non-unital subalgebra.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalSubalgebrastatement · cited by 215
- NonUnitalSubsemiringproof · cited by 201
- NonUnitalSubsemiring.centralizerproof · cited by 10
- Set.smul_mem_centralizerproof · cited by 0
Cited by13
Results whose statement or proof uses this declaration.
- NonUnitalStarSubalgebra.centralizerproof · cited by 11
- NonUnitalAlgebra.adjoin_le_centralizer_centralizerstatement · cited by 4
- NonUnitalAlgebra.commute_of_mem_adjoin_of_forall_mem_commuteproof · cited by 2
- NonUnitalStarAlgebra.adjoin_le_centralizer_centralizerproof · cited by 2
- NonUnitalStarSubalgebra.centralizer_toNonUnitalSubalgebrastatement · cited by 1
- NonUnitalSubalgebra.topologicalClosure_adjoin_le_centralizer_centralizerstatement and proof · cited by 1
- NonUnitalSubalgebra.centralizer_lestatement · cited by 0
- NonUnitalSubalgebra.centralizer_univstatement · cited by 0
- NonUnitalSubalgebra.coe_centralizerstatement · cited by 0
- NonUnitalSubalgebra.centralizer.congr_simpstatement and proof · cited by 0
- NonUnitalAlgebra.elemental.le_centralizer_centralizerstatement · cited by 0
- NonUnitalSubalgebra.mem_centralizer_iffstatement · cited by 0