Theorems · Definition · commutative algebra

AdicCompletion.of

{R : Type u_1} →
  [inst : CommRing R] →
    (I : Ideal R) → (M : Type u_4) → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → M →ₗ[R] AdicCompletion I M

The canonical linear map to the completion.

Defined in

Mathlib.RingTheory.AdicCompletion.Basic

Cited by

37 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule