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Theorems · Definition · commutative algebra

Ideal.adicModuleTopology

{R : Type u_1} →
  [inst : CommRing R] → Ideal R → (M : Type u_2) → [inst_1 : AddCommGroup M] → [Module R M] → TopologicalSpace M

The topology on an R-module M associated to an ideal M. Submodules $I^n M$, written I^n • ⊤ form a basis of neighborhoods of zero.

Defined in
Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology
Cited by
0 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingAddCommGroupModule

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