Theorems · Theorem · commutative algebra

isNoetherian_of_linearEquiv

∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {P : Type u_4} [inst : Semiring R] [inst_1 : Semiring S]
  [inst_2 : AddCommMonoid M] [inst_3 : AddCommMonoid P] [inst_4 : Module R M] [inst_5 : Module S P] {σ : R →+* S}
  {σ' : S →+* R} [inst_6 : RingHomInvPair σ σ'] [inst_7 : RingHomInvPair σ' σ] (f : M ≃ₛₗ[σ] P) [IsNoetherian R M],
  IsNoetherian S P

Defined in

Mathlib.RingTheory.Noetherian.Basic

Cited by

4 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModuleRingHomInvPairRingHomInvPairIsNoetherian