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Theorems · Definition · commutative algebra

RingHom.toModule

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

A ring homomorphism f : R →+* M defines a module structure by r • x = f r * x. See note [reducible non-instances].

Defined in
Mathlib.Algebra.Module.RingHom
Cited by
5 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext
Assumes
SemiringSemiring
Mathlib docsSourceLoogleLeanSearch

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FiniteField.card · cited by 10FiniteField.cardSubalgebra.inclusion.isScalarTower_right · cited by 1inclusion.isScalarTower_r…RingHom.toModule_smul · cited by 0RingHom.toModule_smulSubalgebra.inclusion.faithfulSMul · cited by 0inclusion.faithfulSMulSubalgebra.inclusion.isScalarTower_left · cited by 0inclusion.isScalarTower_l…Module · cited by 20661ModuleSemiring · cited by 13802SemiringRingHom · cited by 10189RingHomModule.compHom · cited by 39Module.compHomRingHom.toModuleCITED BYCITES

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