Theorems · Definition · ring theory
HopfAlgebra.antipodeAlgHom
(R : Type u_1) → (A : Type u_2) → [inst : CommSemiring R] → [inst_1 : CommSemiring A] → [inst_2 : HopfAlgebra R A] → A →ₐ[R] A
The antipode of a commutative Hopf algebra as an algebra hom.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgebraStruct.antipodeproof · cited by 38
- AlgHom.ofLinearMapproof · cited by 11
- HopfAlgebra.antipode_mul_distribproof · cited by 0
Cited by5
Results whose statement or proof uses this declaration.
- AlgHom.antipode_id_cancelstatement and proof · cited by 0
- CommAlgCat.inv_op_of_unop_homstatement · cited by 0
- AlgHom.counitAlgHom_comp_antipodeAlgHomstatement and proof · cited by 0
- HopfAlgebra.toLinearMap_antipodeAlgHomstatement · cited by 0
- HopfAlgebra.antipodeAlgHom_applystatement and proof · cited by 0