Theorems · Definition · ring theory
RingHom.toSemilinearMap
{R : Type u_1} → {S : Type u_5} → [inst : Semiring R] → [inst_1 : Semiring S] → (f : R →+* S) → R →ₛₗ[f] SInterpret a RingHom f as an f-semilinear map.
- Defined in
- Mathlib.Algebra.Module.LinearMap.Defs
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
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.
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- MonoidHom.toOneHomproof · cited by 132
- RingHom.toMonoidHomproof · cited by 132
- OneHom.toFunproof · cited by 132
Cited by20
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.StructureSheaf.comapproof · cited by 15
- Ideal.cotangentIdealproof · cited by 9
- Ideal.map_eq_submodule_mapstatement · cited by 3
- AlgHom.ker_kerSquareLiftproof · cited by 3
- Ideal.cotangentIdeal_squareproof · cited by 3
- Ideal.mk_mem_cotangentIdealproof · cited by 2
- RingHom.toSemilinearMap_applystatement and proof · cited by 2
- HasDerivAt.comp_semilinearproof · cited by 2
- AlgebraicGeometry.StructureSheaf.comapₗ_eq_localRingHomstatement and proof · cited by 1
- HasDerivAt.comp_ringHomproof · cited by 1