Theorems · Definition · ring theory
AlgHom.id
(R : Type u) → (A : Type v) → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → A →ₐ[R] A
Identity map as an AlgHom.
- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 196 results in Mathlib
- Foundations
- Depth 17 from the axioms, rests on 126 definitions · uses no axioms
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomproof · cited by 10,189
- AlgHomstatement · cited by 3,236
Cited by233
Results whose statement or proof uses this declaration.
- BialgHom.idproof · cited by 22
- StarAlgHom.idproof · cited by 15
- AlgEquiv.ofAlgHomstatement and proof · cited by 13
- AlgEquiv.ofAlgHom_applystatement and proof · cited by 13
- Algebra.Extension.baseChangeproof · cited by 12
- AlgEquiv.ofAlgHom_symm_applystatement and proof · cited by 12
- ContinuousAlgHom.idproof · cited by 11
- MvPolynomial.rename_idstatement and proof · cited by 9
- CliffordAlgebra.inductionproof · cited by 8
- CommRingCat.tensorProdproof · cited by 7
- AlgEquiv.symm_compstatement · cited by 7
- Polynomial.aeval_X_leftstatement · cited by 7
Showing the 200 most cited of 233.