Theorems · Definition · ring theory
MulSemiringAction.compHom
{M : Type u_1} →
{N : Type u_2} →
[inst : Monoid M] →
[inst_1 : Monoid N] →
(R : Type v) → [inst_2 : Semiring R] → (N →* M) → [MulSemiringAction M R] → MulSemiringAction N RCompose a MulSemiringAction with a MonoidHom, with action f r' • m.
See note [reducible non-instances].
- Defined in
- Mathlib.Algebra.Ring.Action.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MonoidHomstatement and proof · cited by 3,629
- DistribMulActionproof · cited by 584
- MulSemiringActionstatement and proof · cited by 423
- MulDistribMulActionproof · cited by 120
- MulDistribMulAction.compHomproof · cited by 1
- DistribMulAction.compHomproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- IsFractionRing.mulSemiringActionproof · cited by 4
- IsIntegralClosure.MulSemiringActionproof · cited by 4
- IsFractionRing.stabilizerHom_surjectiveproof · cited by 2
- FixedPoints.toAlgAut_surjectiveproof · cited by 1