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Theorems · Definition · commutative algebra

LocalizedModule

{R : Type u} →
  [inst : CommSemiring R] → Submonoid R → (M : Type v) → [inst_1 : AddCommMonoid M] → [Module R M] → Type (max u v)

If S is a multiplicative subset of a ring R and M an R-module, then we can localize M by S.

Defined in
Mathlib.Algebra.Module.LocalizedModule.Basic
Cited by
154 results in Mathlib
Foundations
Depth 21 from the axioms, rests on 207 definitions · uses propext
Assumes
CommSemiringAddCommMonoidModule

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