IsLocalization

{R : Type u_4} →
  [inst : CommSemiring R] → Submonoid R → (S : Type u_5) → [inst_1 : CommSemiring S] → [Algebra R S] → Prop

The typeclass IsLocalization (M : Submonoid R) S where S is an R-algebra expresses that S is isomorphic to the localization of R at M.

Defined in: Mathlib.RingTheory.Localization.Defs
Cited by: 636 results in Mathlib
Foundations: Depth 13 from the axioms, rests on 97 definitions · uses no axioms
Assumes: CommSemiring CommSemiring Algebra

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