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Theorems · Definition · commutative algebra

Module.compHom

{R : Type u_1} →
  {S : Type u_2} →
    (M : Type u_3) →
      [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [Module R M] → [inst_3 : Semiring S] → (S →+* R) → Module S M

Compose a Module with a RingHom, with action f s • m. See note [reducible non-instances].

Defined in
Mathlib.Algebra.Module.RingHom
Cited by
39 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
Assumes
SemiringAddCommMonoidModuleSemiring

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Algebra.compHom · cited by 10Algebra.compHomModule.compHom.toLinearEquiv · cited by 6compHom.toLinearEquivRingHom.toModule · cited by 5RingHom.toModuleZLattice.rank · cited by 5ZLattice.rankKaehlerDifferential.moduleBaseChange' · cited by 4KaehlerDifferential.modul…Module.restrictScalars · cited by 3Module.restrictScalarsModule.compHom.toLinearEquiv_symm_apply · cited by 3compHom.toLinearEquiv_sym…Module.Basis.mapCoeffs_repr · cited by 3Basis.mapCoeffs_reprRootPairing.linearIndepOn_root_baseOf · cited by 3RootPairing.linearIndepOn…AlgebraicGeometry.StructureSheaf.Localizations.comapFun_mk · cited by 3Localizations.comapFun_mkModuleCat.extendScalarsComp_hom_app_one_tmul · cited by 3ModuleCat.extendScalarsCo…IsBaseChange.comp · cited by 2IsBaseChange.compZLattice.module_free · cited by 2ZLattice.module_freeMatrixModCat.isScalarTower_toModuleCat · cited by 2MatrixModCat.isScalarTowe…TensorAlgebra.ι_eq_algebraMap_iff · cited by 2TensorAlgebra.ι_eq_algebr…Module · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidRingHom · cited by 10189RingHomDistribMulAction · cited by 584DistribMulActionMonoidHomClass.toMonoidHom · cited by 294MonoidHomClass.toMonoidHomMulActionWithZero · cited by 79MulActionWithZeroRingHom.toMonoidWithZeroHom · cited by 24RingHom.toMonoidWithZeroH…DistribMulAction.compHom · cited by 0DistribMulAction.compHomMulActionWithZero.compHom · cited by 0MulActionWithZero.compHomModule.compHomCITED BYCITES

Cites10

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Cited by52

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