Theorems · Definition · ring theory
FixedPoints.subsemiring
(B' : Type u_3) → [inst : Semiring B'] → (G : Type u_4) → [inst_1 : Monoid G] → [MulSemiringAction G B'] → Subsemiring B'
The set of fixed points under a group action, as a subring.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
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.
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- Submonoidproof · cited by 3,086
- AddSubmonoidproof · cited by 1,178
- Subsemiringstatement · cited by 456
- MulSemiringActionstatement and proof · cited by 423
- AddSubmonoid.toAddSubsemigroupproof · cited by 198
- AddSubsemigroup.carrierproof · cited by 198
- FixedPoints.submonoidproof · cited by 2
- FixedPoints.addSubmonoidproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- IsGaloisGroup.ringEquivFixedPointsstatement and proof · cited by 9
- IsGaloisGroup.ringEquivFixedPoints_apply_coestatement · cited by 6
- IsGaloisGroup.algebraMap_ringEquivFixedPoints_symm_applystatement and proof · cited by 6
- FixedPoints.subalgebraproof · cited by 4
- IsGaloisGroup.ringEquivFixedPoints.congr_simpstatement · cited by 0