Theorems · Definition · nonassociative algebras
CentroidHom.centerToCentroid
{α : Type u_5} → [inst : NonUnitalNonAssocSemiring α] → ↥(NonUnitalSubsemiring.center α) →ₙ+* CentroidHom αThe canonical homomorphism from the center into the centroid
- Defined in
- Mathlib.Algebra.Ring.CentroidHom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubsemiringstatement · cited by 201
- NonUnitalRingHomstatement · cited by 157
- CentroidHomstatement and proof · cited by 67
- NonUnitalRingHom.compproof · cited by 38
- NonUnitalSubsemiring.centerstatement · cited by 22
- Subsemiring.centerproof · cited by 18
- SubsemiringClass.subtypeproof · cited by 5
- CentroidHom.centerToCentroidCenterproof · cited by 2
- RingHom.toNonUnitalRingHomproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- NonUnitalNonAssocSemiring.mem_center_iffproof · cited by 1
- CentroidHom.centerIsoCentroidproof · cited by 0
- CentroidHom.centerToCentroid_applystatement · cited by 0