Theorems · Definition · ring theory
CentroidHom.starCenterIsoCentroid
{α : Type u_1} → [inst : NonAssocSemiring α] → [inst_1 : StarRing α] → ↥(StarSubsemiring.center α) ≃⋆+* CentroidHom αThe canonical isomorphism from the center of a (non-associative) semiring onto its centroid.
- Defined in
- Mathlib.Algebra.Star.CentroidHom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiringStarRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- StarRingstatement and proof · cited by 1,686
- NonAssocSemiringstatement and proof · cited by 805
- CentroidHomstatement and proof · cited by 67
- StarRingEquivstatement · cited by 40
- MulHom.toFunproof · cited by 36
- NonUnitalStarRingHomproof · cited by 32
- StarSubsemiringstatement · cited by 18
- NonUnitalRingHom.toMulHomproof · cited by 15
- NonUnitalStarSubsemiring.centerproof · cited by 3
- NonUnitalStarRingHom.toNonUnitalRingHomproof · cited by 2
- StarSubsemiring.centerstatement · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- CentroidHom.starCenterIsoCentroid_applystatement · cited by 0
- CentroidHom.starCenterIsoCentroid_symm_apply_coestatement · cited by 0