Submodule.isLasker

∀ (R : Type u_1) (M : Type u_2) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [IsNoetherian R M],
  IsLasker R M

The Lasker--Noether theorem: every submodule in a Noetherian module admits a decomposition into primary submodules.

Defined in: Mathlib.RingTheory.Lasker
Cited by: 1 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module IsNoetherian

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