Theorems · Theorem · ring theory

LinearMap.FiniteRangeSetoid.equiv_iff_isNoetherian_quotient_eqLocus

∀ {K : Type u_1} {V : Type u_2} {V₂ : Type u_4} [inst : CommRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  [inst_3 : AddCommGroup V₂] [inst_4 : Module K V₂] {u v : V →ₗ[K] V₂}, u ≈ v ↔ IsNoetherian K (V ⧸ u.eqLocus v)

Defined in

Mathlib.Algebra.Module.LinearMap.FiniteRange

Cited by

1 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule