Theorems · Definition · commutative algebra

LinearMap.iterateMapComap

{R : Type u_1} →
  {N : Type u_2} →
    {M : Type u_3} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid N] →
          [inst_2 : Module R N] →
            [inst_3 : AddCommMonoid M] →
              [inst_4 : Module R M] → (N →ₗ[R] M) → (N →ₗ[R] M) → ℕ → Submodule R N → Submodule R N

The LinearMap.iterateMapComap f i n K : Submodule R N is f⁻¹(i(⋯(f⁻¹(i(K))))) (n times).

Defined in

Mathlib.Algebra.Module.Submodule.IterateMapComap

Cited by

4 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModule