Theorems · Definition · ring theory
NonUnitalSubring.centralizer
{R : Type u_1} → [inst : NonUnitalRing R] → Set R → NonUnitalSubring RThe centralizer of a set as non-unital subring.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalRing
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.
- Setstatement and proof · cited by 53,352
- NonUnitalRingstatement and proof · cited by 422
- NonUnitalSubsemiringproof · cited by 201
- NonUnitalSubringstatement · cited by 185
- Set.centralizerproof · cited by 57
- NonUnitalSubsemiring.centralizerproof · cited by 10
Cited by10
Results whose statement or proof uses this declaration.
- NonUnitalSubring.closure_le_centralizer_centralizerstatement · cited by 1
- NonUnitalSubring.coe_centralizerstatement · cited by 0
- NonUnitalSubring.mem_centralizer_iffstatement · cited by 0
- NonUnitalSubring.center_le_centralizerstatement · cited by 0
- NonUnitalSubring.centralizer_eq_top_iff_subsetstatement · cited by 0
- NonUnitalSubring.centralizer_lestatement · cited by 0
- NonUnitalSubring.centralizer_toNonUnitalSubsemiringstatement · cited by 0
- NonUnitalSubring.centralizer_univstatement · cited by 0
- Subring.centralizer_toNonUnitalSubringstatement · cited by 0
- NonUnitalSubring.isMulCommutative_closureproof · cited by 0