Theorems · Definition · ring theory
StarAlgHom.id
(R : Type u_2) →
(A : Type u_3) →
[inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → [inst_3 : Star A] → A →⋆ₐ[R] AThe identity as a StarAlgHom.
- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomproof · cited by 3,236
- Starstatement and proof · cited by 496
- StarAlgHomstatement · cited by 215
- AlgHom.idproof · cited by 196
Cited by16
Results whose statement or proof uses this declaration.
- StarAlgEquiv.ofStarAlgHomstatement and proof · cited by 5
- StarAlgHom.coe_idstatement · cited by 0
- StarAlgEquiv.ofStarAlgHom_applystatement and proof · cited by 0
- StarAlgEquiv.ofStarAlgHom_symm_applystatement and proof · cited by 0
- StarAlgHom.comp_idstatement · cited by 0
- StarSubalgebra.map_idstatement and proof · cited by 0
- Unitization.starMap_idstatement and proof · cited by 0
- StarAlgEquiv.symm_ofStarAlgHomstatement and proof · cited by 0
- StarAlgHom.id_compstatement · cited by 0
- ContinuousMap.compStarAlgHom'_idstatement · cited by 0
- ContinuousMap.compStarAlgHom_idstatement · cited by 0
- WeakDual.CharacterSpace.compContinuousMap_idstatement · cited by 0