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Theorems · Definition · commutative algebra

Localization.mkAddMonoidHom

{R : Type u_1} → [inst : CommSemiring R] → {M : Submonoid R} → ↥M → R →+ Localization M

For any given denominator b : M, the map a ↦ a / b is an AddMonoidHom from R to Localization M.

Defined in
Mathlib.RingTheory.Localization.Defs
Cited by
4 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Quot.sound
Assumes
CommSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Localization.mk_sum · cited by 1Localization.mk_sumLocalization.mkAddMonoidHom_apply · cited by 0Localization.mkAddMonoidH…Localization.mk_list_sum · cited by 0Localization.mk_list_sumLocalization.mk_multiset_sum · cited by 0Localization.mk_multiset_…CommSemiring · cited by 10911CommSemiringAddMonoidHom · cited by 3230AddMonoidHomSubmonoid · cited by 3086SubmonoidLocalization · cited by 270LocalizationLocalization.mk · cited by 110Localization.mkLocalization.mkAddMonoidHomCITED BYCITES

Cites5

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Cited by4

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