Theorems · Definition · ring theory
NonUnitalStarAlgHom.id
(R : Type u_1) →
(A : Type u_2) →
[inst : Monoid R] →
[inst_1 : NonUnitalNonAssocSemiring A] → [inst_2 : DistribMulAction R A] → [inst_3 : Star A] → A →⋆ₙₐ[R] AThe identity as a non-unital ⋆-algebra homomorphism.
- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 16 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.
- Monoidstatement and proof · cited by 3,887
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- Starstatement and proof · cited by 496
- MonoidHom.idproof · cited by 323
- NonUnitalStarAlgHomstatement · cited by 208
- NonUnitalAlgHomproof · cited by 148
Cited by14
Results whose statement or proof uses this declaration.
- StarAlgEquiv.ofNonUnitalStarAlgHomstatement and proof · cited by 5
- StarAlgEquiv.ofNonUnitalStarAlgHom_applystatement and proof · cited by 0
- StarAlgEquiv.ofNonUnitalStarAlgHom_symm_applystatement and proof · cited by 0
- NonUnitalStarAlgHom.coe_idstatement · cited by 0
- Unitization.starMap_idstatement and proof · cited by 0
- NonUnitalStarAlgebra.range_idstatement and proof · cited by 0
- StarAlgEquiv.symm_ofNonUnitalStarAlgHomstatement and proof · cited by 0
- NonUnitalStarSubalgebra.map_idstatement and proof · cited by 0
- NonUnitalStarAlgHom.comp_idstatement · cited by 0
- NonUnitalStarAlgebra.toTopproof · cited by 0
- StarAlgEquiv.toNonUnitalStarAlgHom_ofNonUnitalStarAlgHomstatement and proof · cited by 0
- StarAlgEquiv.toNonUnitalStarAlgHom_reflstatement · cited by 0