Theorems · Definition · ring theory
StarSubsemiring.center
(R : Type u_1) → [inst : NonAssocSemiring R] → [inst_1 : StarRing R] → StarSubsemiring R
The center of a semiring R is the set of elements that commute and associate with everything
in R
- Defined in
- Mathlib.Algebra.Star.Subsemiring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- StarRingstatement and proof · cited by 1,686
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringproof · cited by 456
- StarSubsemiringstatement · cited by 18
- Subsemiring.centerproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- CentroidHom.starCenterIsoCentroidstatement · cited by 2
- CentroidHom.starCenterIsoCentroid_applystatement · cited by 0
- CentroidHom.starCenterIsoCentroid_symm_apply_coestatement · cited by 0