Theorems · Definition · ring theory
MulSemiringAction.toRingAut
(G : Type u_1) → (R : Type u_2) → [inst : Group G] → [inst_1 : Semiring R] → [MulSemiringAction G R] → G →* RingAut R
Each element of the group defines a ring automorphism.
This is a stronger version of DistribMulAction.toAddAut and
MulDistribMulAction.toMulAut.
- Defined in
- Mathlib.Algebra.Ring.Action.End
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- MulSemiringActionstatement and proof · cited by 423
- MulSemiringAction.toRingEquivproof · cited by 13
- RingAutstatement · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- Ideal.pointwise_smul_eq_comapstatement and proof · cited by 5
- MulSemiringAction.toRingAut_applystatement and proof · cited by 4
- IsArithFrobAt.conjproof · cited by 1
- cyclotomicCharacter.continuousstatement and proof · cited by 0
- Ideal.smul_underproof · cited by 0
- ValuationSubring.inertiaSubgroupproof · cited by 0
- Algebra.IsInvariant.exists_smul_of_under_eq_of_profiniteproof · cited by 0
- Ideal.Quotient.stabilizerHomSurjectiveAuxFunctor_auxproof · cited by 0
- Ideal.Quotient.stabilizerHom_surjective_of_profiniteproof · cited by 0